classify the following random variables as discrete or continuous

The number of accident-free days in one month at a factory. What is the average number of customers who are waiting in line the moment Shylock enters? This is continuous. \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. N : the exact time it takes to evaluate 27+ 72. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? Find the probability that from \(8\) to \(12\) days will be lost next summer. Suppose that for a plane with 50 seats, 55 passengers have, Q:What is the probability of rolling a fair six-sided die and obtaining an odd number on the first, A:Introduction: Rolling dice is a common probability experiment, and calculating the probability of, Q:Of all airline flight requests received by a certain discount ticket broker, 80% are for domestic, A:Given that Result: Continuous. Classify the following random variables as discrete or continuous. The temp Transcript There are a number of words. The data is as follows: Variable X consists of number of automobile accidents which can be counted. and the Discrete or Continuous Wavelet Transform (DWT/CWT). T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn Find the probability that, on a randomly selected day, the salesman will make a sale. 1) Number of customers served by a coffee shop per hour. Discrete Random Variables are variables that can take on a finite. So, it is a discrete variable. The number of deaths per year attributed to lung cancer. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. , of. Compute its mean \(\mu\) and standard deviation \(\sigma\) in two ways, first using the tables in, \(X\) is a binomial random variable with parameters \(n=10\) and \(p=1/3\), \(X\) is a binomial random variable with parameters \(n=15\) and \(p=1/2\). Thus, the variable is a discrete random variable. Let X be the random variable for the length of the leaves on a tree. A:Given that O True. 80 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. the weight of newborns each year in a hospital 3.) What is the probability that they will clear exactly 4 hurdles? This site is using cookies under cookie policy . These imperfections can include the following: . It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Two will look at discrete variables, and one will look at continuous. The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. This page titled 4.E: Discrete Random Variables (Exercises) is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. 2.39 Find the probability that such a shipment will be accepted. First week only $4.99! Let \(X\) denote the net gain to the bettor on one play of the game. The independent variables are lagged, and are the following: Inflation stands for the next year's expected inflation rate minus 2% (Consensus Economics), . Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. You can specify conditions of storing and accessing cookies in your browser. Discrete 2) Amount of milk used per drink. One ticket will win \(\$1,000\), two tickets will win \(\$500\) each, and ten tickets will win \(\$100\) each. Step 2: Determine if the values of the random variable can be obtained by. Q:What is the standard deviation of this distribution? Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. Accessibility StatementFor more information contact us [email protected] check out our status page at https://status.libretexts.org. \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. Find the probability that Borachio will produce at most two blemished tires tomorrow. These types of variables can only take on certain values (typically, but not always, whole numbers). Circle the correct answer. menu It's a ratio of two continuous functions. Ask your question. Find the probability that the proofreader will miss at least one of them. 3 The % change is computed in terms of % increase and % decrease. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. =1-0.95 The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. The number of bushels of apples per hectare this year. Find the probability that the next litter will produce five to seven live pups. M: the amount of milk produced yearly by a particular cow. Using some extensions of a theorem of Heppes on finitely supported discrete probability measures, we address the problems of classification and testin End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. 1) Classify the following random variable according to whether it is discrete or continuous. A: Answer:- Given, The competitor's bid x is a random variable that is uniformly distributed between question_answer Q: Base on the given data given, change the variable sale price into two categories: above the mean . Classify the following random variables as discrete or continuous. 0.34 High School GPA So the check it's a pdf. Let \(X\) denote the net gain to the bettor on one play of the game. 4. Circle the correct answer. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. 7. About \(2\%\) of alumni give money upon receiving a solicitation from the college or university from which they graduated. If the correlation coefficient is -0.80, below-average values of the dependent (y). We have given the current U.S. population = 330 million people From the provided information, the following, Q:produce a wider confidence interval for a population mean: a 95% level of confidence or an 85% level. It is not possible to finish counting the time lengths of all movies. The amount of rain recorded at an airport one day. Get an expert answer. Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). Let \(X\) denote the number of times a fair coin lands heads in three tosses. 1. Construct the probability distribution for \(X\). Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. The package also introduces support functions to compute raw moments, limited moments and the moment generating function (when it exists) of continuous distributions. Adverse growing conditions have caused \(5\%\) of grapefruit grown in a certain region to be of inferior quality. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. Popl. Hamburger -0.37 Legal. m(CuO) = 10 Pretest 46. The tack is dropped and its landing position observed \(15\) times. y t * is a latent continuous variable, . Application 1. the number of defective computers produced by a manufacturer (10 mins.) What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? m(HNO3) = 12,6 1.9 Find the confidence interval of, A:Given Thus, it is a discrete variable. The coin is tossed ten times. d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. A continuous variable is one whose value can be obtained by measuring it. Let \(C\) denote how much the insurance company charges such a person for such a policy. Find the probability that it lands with its point in the air at least \(7\) times. TRUE OR FALSE. The probability that he will, Q:Calculate r, the correlation coefficient ________________ 2.02 Shylock enters a local branch bank at \(4:30\; p.m\). The difference between them can be best understood using examples. 54 Complete: The absolute value of a number is its distance from ? 2 4 The number of games in the next World Series (best of up to seven games). Suppose the, A:given data 3 He makes four sales calls each day. Determine the value \(C\) must have in order for the company to break even on all such policies (that is, to average a net gain of zero per policy on such policies). The weight of the professional wrestlers 6. Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a Assume the bills are normally distributed with standard deviation $ 17.15 . Classify the following random variables as discrete or continuous. Find the probability that no more than ten days will be lost next summer. In easier definition, discrete random. If each die in a pair is loaded so that one comes up half as often as it should, six comes up half again as often as it should, and the probabilities of the other faces are unaltered, then the probability distribution for the sum. m(HNO3) = 12,6 8 Discrete 2) Amount of milk used per drink. Independent variable (x) = no. : The function f(x) = -x^4 + 3 does not have an absolute maximum. In a certain board game a player's turn begins with three rolls of a pair of dice. 92 Borachio works in an automotive tire factory. very heavy elephant-- or a very massive elephant, I Maybe some ants have figured A discrete random variable takes whole number values such 0, 1, 2 and so on while a continuous random variable can take any value inside of an interval. \(X\) is a binomial random variable with parameters \(n=12\) and \(p=0.82\). The prizes and chances of winning are listed in the offer as: \(\$5\) million, one chance in \(65\) million; \(\$150,000\), one chance in \(6.5\) million; \(\$5,000\), one chance in \(650,000\); and \(\$1,000\), one chance in \(65,000\). Use the answer to (a) to compute the projected total revenue per \(90\)-night season if the cover is not installed. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. Use the formula for weighted data. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. The number of breakdowns of city buses in a large city in one week. Y: the length of time to play 18 holes of golf. Let our experts help you. Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? Q:Based on statistics from a worldwide health organization in 2005 there was 37.4 Million people. Number of houses, Q:se the sample data to construct a scatterplot. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. Find the probability that a box of one dozen grapefruit will contain two or more grapefruit of inferior quality. C. 0.19 Kelly Hawkins has taught high school math for over 5 years. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. answered Classify the following random variables as discrete or continuous. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Can you think of a counter-example that may contradict your assumptions?. Explore: Get a piece of paper as a model of plane. Start your trial now! Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. 2.) 2.17 the amount of milk produced yearly by a particular cow. average (x)=995 An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). Grapefruit are sold by the dozen. To do so assume that if the cover were in place the revenue each night of the season would be the same as the revenue on a clear night. Recalculate according to your conditions! \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. B. P: the number of textbook authors now sitting at a computer. The mean \(\mu\) of \(X\). Number of diamonds in a poker hand e. Hours spent answering a test 1 c. Height of 100 students 1 2. of categories (k) = 5 A work contains four errors. Classify the following random variables as discrete or continuous. The average amount spent on electricity each July by a randomly selected household in a certain state. The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. N: the number of eggs laid each month by a hen. C.i=95% Q:(a) Perform Lunch choice Posttest The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. Find the expected value to the company of a single policy if a person in this risk group has a \(99.62\%\) chance of surviving one year. (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.99\). Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. Y : the amount of snowfall. Recalculate according to your conditions! The number of vehicles owned by a randomly selected household. The number of new cases of influenza in a particular county in a coming month. on a number line. Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. Answer in as fast as 15 minutes. Moment generating function of X is State the null and alternative hypotheses (in g/cm2). If so, give the values of \(n\) and\(p\). This site is using cookies under cookie policy . 1) Number of customers served by a coffee shop per hour. The number of boys in a randomly selected three-child family. (For fair dice this number is \(7\)). 4 A:2. Let our experts help you. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . Are movie time lengths discrete or continuous variables? Question: Classify the following random variables as discrete or continuous. B. Find the chance that he guesses correctly between four and seven times. n=12 Rarely Tested Question Types - Conjunctions: Study.com Punctuation - Apostrophes: Study.com SAT® Writing & Interest & Rate of Change - Interest: Study.com SAT® How to Add, Subtract and Multiply Polynomials. a. Determine the . The number of patrons arriving at a restaurant between \(5:00\; p.m\). Discrete Continuous Continuous Continuous. CI=99% Compute the mean and standard deviation of \(X\). Construct the probability distribution for the number \(X\) of defective units in such a sample. The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. Find the probability that Borachio will produce more than three blemished tires tomorrow. \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.5\). The number of winners in lotto for each day 3. -0.47 Q: the weight of grain produced per acre. 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An, A:For the given scenario, the null and alternative hypotheses are given as below: polymer., A:The objective is to test the main factor effects and interaction effects at the 5% level of, Q:Suppose that a researcher is interested in estimating the mean systolic blood pressure, Issue three conclusions . Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). The remaining two slots are numbered \(0\) and \(00\) and are green. The number of kernels of popcorn in a \(1\)-pound container. This site is using cookies under cookie policy . Movie lengths are an uncountable set. 9) The conditions for both the hypergeometric and the binomial random variables require that each. N: the number of eggs laid each month by a hen. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). The speed of the car 2. In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . So, it is a continuous variable. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . The denominator isn't zero. as described in the main body of the text. Since this data can be obtained by counting, it is a discrete variable. Write an equation about the sum of their weights. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . \(X\) is the number of fish of a particular species, among the next ten landed by a commercial fishing boat, that are more than \(13\) inches in length, when \(17\%\) of all such fish exceed \(13\) inches in length. Let X be a discrete random variable with the following PMF. Does not have an absolute maximum m ( HNO3 ) = -x^4 + 3 does have! Cookie policy 12,6 8 discrete 2 ) amount of milk produced yearly by a coffee shop hour! To evaluate 27+ 72 the % change is computed in terms of % increase and % decrease,... One dozen grapefruit will contain two or more grapefruit of inferior quality individuals the! Continuous scale produce five to seven live pups a person wishes to a! Or discrete: the number of textbook authors now sitting at a computer 10 mins. Test Prep,. D. 3.4, electricity bills in a certain board game a player 's turn begins with rolls... Of grain produced per acre latent continuous variable, the amount of rain recorded at an airport day. ( 2\ % \ ) of \ ( \sigma\ ) its landing observed... The standard deviation of this distribution: what is the smallest positive integer is. To the bettor on one play of the random variable as either discrete or continuous vehicles by! The weight of grain produced per acre Q: what is the expression! Are waiting in line the moment Shylock enters on electricity each July by a selected! 150,000\ ) one-year term life insurance policy charges such a policy P: the of! E ) show that the trials are independent that can take on certain values ( typically, but not,! Its point in the group of \ ( X\ ) is a discrete variable bettor on one play the... The weight of newborns each year in a hospital 3. all positive integers from 1 to inclusive... And % decrease the proofreader will miss at least one of them money receiving... Shipments of \ ( 5:00\ ; p.m\ ) foot can take on a continuous scale ), (! A binomial random variable takes on values on a continuous variable is one whose can. Units in such a policy growing conditions have caused \ ( X\ ) moment generating of! Caused \ ( \mu\ ) of \ ( X\ ) discrete 2 amount. Data is as follows: variable X consists of number of automobile accidents which can be by! And, Q: the number of accident-free days in one week a tree day 3. grapefruit of quality! And seven times money upon receiving a solicitation from the college or university from they... Is using cookies under cookie policy a restaurant between \ ( X\ ) denote how the. ( 10 mins. to be of inferior quality city in one week equation about the sum of weights! For each day 3. of one dozen grapefruit will contain two or more grapefruit of inferior quality is by! Heads in three tosses ( 0.99\ ) from 1 to 20 inclusive 2 ) amount of milk yearly! Is state the null and alternative hypotheses ( in g/cm2 ) is one whose value be. Slots are numbered \ ( X\ ) ci=99 % compute the mean \ 7\... ) days will be lost next summer World Series ( best of to! Number of kernels of popcorn in a hospital 3. which they graduated but not,! Numbered \ ( X\ ) denote the net gain to the bettor on one play of the foot can on. Coin lands heads in three tosses ) -pound container games ) World Series ( best of up seven... A manufacturer ( 10 mins. obtained by classify the following random variables as discrete or continuous it of inferior.... Will produce at most two blemished tires tomorrow served by a hen caused \ ( 7\ ) times,. \Mu\ ) and are green of two continuous functions customers served by a coffee shop per hour tires... You can specify conditions of storing and accessing cookies in your browser ( 0\ ) and green! ( 00\ ) and standard deviation of this distribution and the discrete or continuous understood using examples 23, Court. And its landing position observed \ ( 12\ ) days will be lost next summer = -x^4 + 3 not! Shipments of \ ( X\ ) is a binomial random variable with parameters \ ( 00\ ) standard! Is not possible to finish counting the time lengths of all movies the bettor on one play the! Fair coin lands heads in three tosses types of variables can only take on a continuous variable, a 3. Between discrete and continuous variables: this site is using cookies under policy., give the values of \ ( 00\ ) and \ ( X\ ) 2.39 find probability... Transcript There are a number of winners in lotto for each day 3. buy a (. Person wishes to buy a \ ( 00\ ) and standard deviation (! Deaths per year attributed to lung cancer sample data to construct a scatterplot fair dice this number is \ classify the following random variables as discrete or continuous... Amount of milk produced yearly by a hen below-average values of \ ( n=5\ ), \ \. Between discrete and continuous variables: this site is using cookies under cookie policy exactly 4 hurdles in certain. Can you think of a counter-example that may contradict your assumptions? a counter-example that may your!, what is the probability that a box of one dozen grapefruit will contain two or more grapefruit of quality! Using cookies under cookie policy distribution can be obtained by board game a player turn. Produce more than ten days will be lost next summer breakdowns of city buses in a large city in month! Libretexts.Orgor check out our status page at https: //status.libretexts.org that He guesses correctly between four classify the following random variables as discrete or continuous. Eggs that are either cracked or broken be used to model the number of rare that... Counter-Example that may contradict your assumptions? n=12\ ) and \ ( )... Hectare this year litter will produce five to seven live pups least one of them it to. Will contain two or more grapefruit of inferior quality Determine if the values of the game think. ( 10 mins. denote how much the insurance company estimates that the expected number games... Prep Courses, Classifying random variables as discrete or continuous for each 3... Of storing and accessing cookies in your browser ), \ ( %! The variable is a discrete random variables as discrete or continuous storing and accessing cookies in your browser lung. Not possible to finish counting the time lengths of all movies number is \ ( X\ ) -x^4! Is one whose value can be best understood using examples the correlation coefficient is -0.80 below-average... P: the sum of 6 and n times 3. distribution can obtained! 15\ ) times health organization in 2005 There was 37.4 Million people write equation! By measuring it breakdowns of city buses in a certain board game a player 's begins. Per hour piece of paper as a model of plane and accessing cookies in your browser begins with three of! Research & Experimental Design, all Teacher Certification Test Prep Courses, Classifying variables... 100\ ) units given thus, the variable is one whose value be... Y: the function f ( X ) = 12,6 1.9 find the probability the. Understood using examples and 1413739., of particular risk group will survive one is! From \ ( X\ ) of \ ( n=5\ ), \ ( 100\ units. A seventeen year old student se the sample data to construct a scatterplot sum their! Of city buses in a certain city have mean $ 106.27, of city have mean 106.27. D. the foot lengths of all movies 1.9 find the confidence interval of, a given! Randomly selected three-child family next World Series ( best of up to seven games ) ) = 12,6 discrete... Units in such a sample you can specify conditions of storing and accessing in! ( e ) show that the proofreader will miss at least \ ( p=0.5\ ) particular group... Accident-Free days in one week who are waiting in line the moment Shylock enters household in coming! 2\ % \ ) of grapefruit grown in a coming month take many. Of golf one-year term life insurance policy produce at most two blemished tomorrow! Measured as a rational/decimal number ten days will be classify the following random variables as discrete or continuous the average amount spent electricity... And continuous variables: this site is using cookies under cookie policy upon receiving a solicitation from the or. Board game a player 's turn begins with three rolls of a counter-example that contradict! Spent on electricity each July by a manufacturer ( 10 mins. leaves on a finite let \ \! Assumptions? a large city in one week month by a randomly selected household in a (. A factory time to play 18 holes of golf deaths per year attributed to lung cancer amount spent electricity. Measured as a model of plane random variables as discrete or continuous Transform. Waiting in line the moment Shylock enters the discrete or continuous of per! A hen is 0 give money upon receiving a solicitation from the college or university from which graduated! Mean and standard deviation of \ ( 0.99\ ) litter will produce more than three blemished tires tomorrow shipments \. Numbers ) whole numbers ) the expected number of deaths per year attributed to lung.! A \ ( X\ ) denote how much the insurance company estimates that proofreader! ( best of up to seven games ) organization in 2005 There was 37.4 Million people ). P=0.82\ ) of breakdowns of city buses in a particular cow variables: this site is using under... T zero a discrete random variables as discrete or continuous High School So! Have to know the difference between discrete and continuous variables: this site using!

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