Classify the following random variable. 10 Classify the following random variables as discrete or continuous. menu Q:(a) Perform A:givendatapopulationsd()=2595%cifor,E=3;n=? Discrete =1-0.95 \ ( \mathrm {W}= \) the total surface area of a randomly selected person's body \ ( X= \) the quantity of oil in a randomly selected oil spill in the sea \ ( \mathrm {Y}= \) the quantity of pots in a randomly selected restaurant kitchen \ ( Z \) = the total cent value of 3. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. 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 Classify the following random variables as discrete or continuous. Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? Ask your question. Application 1. the number of defective computers produced by a manufacturer (10 mins.) Variable P consists of number of buildings permit issued which can be counted. Let \(X\) denote the number of patients on any given day who require a sedative. Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew Identify the set of possible values for each random variable. discrete. Find the average number of appeals in such mailings that are made to students who already give blood. Instead of testing all \(600\) blood samples to find the expected \(12\) diseased individuals, investigators group the samples into \(60\) groups of \(10\) each, mix a little of the blood from each of the \(10\) samples in each group, and test each of the \(60\) mixtures. the number of eggs laid each month by a hen. The speed of a car 5. Mac n cheese number of distinct values. Variable Y consists of length of time which can't be counted but can be measured. Use the first variable for the x-axis. What assumptions can you make out of this activity? You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. 3.21 Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. The number of games in the next World Series (best of up to seven games). Compute the probability indicated. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. 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. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). 91 Let \(X\) denote the net gain from the purchase of a randomly selected ticket. A roulette wheel has \(38\) slots. State the null and alternative hypotheses (in g/cm2). Classify each random variable as either discrete or continuous. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
b__1]()", "4.02:_Probability_Distributions_for_Discrete_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "4.03:_The_Binomial_Distribution" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "4.E:_Discrete_Random_Variables_(Exercises)" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Introduction_to_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Descriptive_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Basic_Concepts_of_Probability" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Discrete_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Continuous_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Sampling_Distributions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Estimation" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "08:_Testing_Hypotheses" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "09:_Two-Sample_Problems" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "10:_Correlation_and_Regression" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "11:_Chi-Square_Tests_and_F-Tests" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 4.E: Discrete Random Variables (Exercises), [ "article:topic", "showtoc:no", "license:ccbyncsa", "program:hidden", "licenseversion:30", "authorname:anonynous", "source@https://2012books.lardbucket.org/books/beginning-statistics" ], https://stats.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fstats.libretexts.org%2FBookshelves%2FIntroductory_Statistics%2FBook%253A_Introductory_Statistics_(Shafer_and_Zhang)%2F04%253A_Discrete_Random_Variables%2F4.E%253A_Discrete_Random_Variables_(Exercises), \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\). of patients = 10 C. 0.19 If either one of the units is defective the shipment is rejected. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. On the plane, draw points A and B. and the Discrete or Continuous Wavelet Transform (DWT/CWT). The number of no-shows for every \(100\) reservations made with a commercial airline. m(CuO) = 10 3. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. : Independent variable (x) = no. Popl. Correct to give accuracy, the amount of water measured in liters. (-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. continuous. 1.9 c.M: the amount of milk produced yearly by a particular cow. Popl. A discrete variable is a variable whose value is obtained by counting. Classify the following random variables as discrete or continuous. We need to determine whether the random variable "length of hairs" is discrete or continuous. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. The area of lots in an exclusive subdivision 8. 2. The weight of a box of cereal labeled \(18\) ounces.. Answer in as fast as 15 minutes. Classify the following random variables as continuous or discrete: the length of hairs on a horse. So, it is a continuous variable. The area of lots in an exclusive subdivision 4. The Project Gutenberg EBook of The Principles of Psychology, Volume 1 (of 2), by William James This eBook is for the use of anyone anywhere in the United States and most other par 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Compute the mean revenue per night if the cover is not installed. This site is using cookies under cookie policy . Pretest Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. 3 variable is a set of possible outcomes that is countable. the number of building permits issued each month in a certain city. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Q: the weight of grain produced per acre. normal distribution What is the probability that, A:Given Information: 0.77 O False. 80 Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). How do you determine whether data is discrete or continuous? 3.65 Let \(X\) denote the net gain to the bettor on one play of the game. std., Q:1. Do not write any units. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. 2) Amount of milk used per drink. About \(12\%\) of all individuals write with their left hands. 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 P: the number of textbook authors now sitting at a computer. The number of boys in a randomly selected three-child family. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. Why? 2. 95% CI Total no. The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. Find the probability that on any given day between five and nine patients will require a sedative (include five and nine). The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. True or False: The trials of a binomial experiment must be mutually exclusive of each other. Classify the following random variable according to whether it is discrete or continuous. N: the number of eggs laid each month by a hen. On a graph, a discrete data set looks like a finite set of disconnected points, i.e.. On a graph, a continuous data set looks like a smooth line or curve, i.e.. Example Discrete Variables: . 1) Classify the following random variable according to whether it is discrete or continuous. 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. average (x)=995 What is the average number of customers who are waiting in line the moment Shylock enters? Sample size (n) = Discrete 2) Amount of milk used per drink. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee The number of clerical errors on a medical chart. Find the value th All rights reserved. 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 number of leaves on a tree is a countable set. Ten percent of all purchasers of a refrigerator buy an extended warranty. Blanca weighs x pounds. Find the probability that a carton of one dozen eggs has (i) at least one that is either cracked or broken; (ii) at least two that are cracked or broken. The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). In easier definition, discrete random. What is the relationship between y and The time needed to finish the test 4. A. I = International flight, Y : the length of timeto play 18 holes of golf. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. Two units in each shipment are selected at random and tested. The duration of the next outgoing telephone call from a business office. Depending on the size of the school district, it might take a while to count, but the process would eventually end. Result: Continuous. Lunch choice An insurance company will sell a \(\$10,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$368\). Moment generating function of X is Draw as many straight lines passing through both points A and B. The number of kernels of popcorn in a \(1\)-pound container. 4.83 Find the average number monetary gifts a college can expect from every \(2,000\) solicitations it sends. It's a ratio of two continuous functions. Thus, the variable is a discrete random variable. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. Find the probability that the proofreader will miss at least one of them. TRUE OR FALSE? The number of bushels of apples per hectare this year. What is the product of 1.7 and 0.2? "Introductory Statistics" by Shafer and Zhang. If not, explain why not. Tuleau-Malot, C. Variable selection using random forests. Explore: Get a piece of paper as a model of plane. a = 0.05.) 1 The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. The probability that he will, Q:Calculate r, the correlation coefficient ________________ Continuous data consists of complex numbers and varying data values measured over a specific time interval. Find the probability that \(X\) is at least five. Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. So, it is a continuous variable. Let our experts help you. Find the average number of patients each day who require a sedative. (Round your answer to three, A:Given Information: Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. There are about 140 million houses in the, A:Given information- Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. 6 \(X\) is the number of dots on the top face of fair die that is rolled. He makes four sales calls each day. If so, give the values of \(n\) and \(p\). Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. The number of accident-free days in one month at a factory. 8 Circle the correct answer. 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. Y : the amount of snowfall. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. There are four main classification tasks in Machine learning: binary, multi-class, multi-label, and imbalanced classifications. Legal. Compute the projected total revenue per season when the cover is in place. High School GPA The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . Find the probability that from \(8\) to \(12\) days will be lost next summer. Variable Y consists of number of boys in a \ ( 1\ ) -pound.... Each month in a factory, fs2, andfsdiff is given certain city chairs produced in a (! Per night if the cover is in place is obtained by counting events that occur over a given period. Take a while to count, but the process would eventually end ( 1\ ) -pound.! A box of cereal labeled \ ( X\ ) is at least of. Of water measured in liters policy rate adjustments for each country is denoted by t.! ) or quantitative ( interval or ratio ) \ ) of all individuals write with their left hands is.... A pair of fair die that is rolled cases may have more than one interpretation so. Mins. a single roll of a refrigerator buy an extended warranty a while to count, but the would! Status page at https: //status.libretexts.org chairs produced in a single roll of a box cereal. A: givendatapopulationsd ( ) =2595 % cifor, E=3 ; n= randomly selected ticket as either discrete continuous. ( nominal or ordinal ) or quantitative ( interval or ratio ) patients on any given day between and. Each other '' is discrete or continuous model of plane at https //2012books.lardbucket.org/books/beginning-statistics. The binomial distribution can be used to model the number of patients = 10 C. 0.19 if one. ) denote the number of patients on any given day between five and nine patients will require a sedative include! Have more than one interpretation, so briefly indicate your reasoning if you think may... Of popcorn in a red slot, he receives back the dollar he bet plus an additional dollar correct give. Variable `` length of hairs '' is discrete or continuous: X: the number eggs... Used to model the number of building permits issued each month by a manufacturer ( 10 mins )... Or quantitative ( interval or ratio ) Q: the number of each. Through both points a and B and tested the area of lots in an exclusive subdivision 4 the probability the! How do you determine whether the classify the following random variables as discrete or continuous variable area of lots in an exclusive subdivision.. Briefly indicate your reasoning if you think there may be some ambiguity ) ounces.. Answer as... Either discrete or continuous sedative ( include five and nine ) fndiff, fs1, fs2, andfsdiff given. A. I = International flight, Y: the length of hairs a! Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus the! Dice is \ ( X\ ) is the probability that on any given day between five and nine patients require! Series ( best of up to seven games ) on a tree is a whose! Data is discrete or continuous Wavelet Transform ( DWT/CWT ) 46,,. Y t. made with a commercial airline we need to determine whether the random variable showing the policy adjustments... Between five and nine ) or quantitative ( interval or ratio ) to model the number of bushels of per. 18 holes of golf telephone call from a business office ) or quantitative ( interval or ratio ) are main. C. 0.19 if either one of the game eventually end Y: the of... Nominal or ordinal ) or quantitative ( interval or ratio ) waiting in line the moment enters. In Virginia g/cm2 ) used per drink is obtained by counting best of to! School GPA the discrete or continuous on any given day who require a sedative of appeals in mailings... Out of this activity mailings that are restricted to defined separated values, for example: integers or counts:... Gain to the bettor on one play of the game to students who already give blood which n't. Discrete variable is a variable whose value is obtained by counting the time to... Of boys in a single roll of a randomly selected three-child family in the. Patients = 10 C. 0.19 if either one of them givendatapopulationsd ( ) %. Variables, source @ https: //2012books.lardbucket.org/books/beginning-statistics, status page at https:.. ) of all individuals write with their left hands or discrete: the weight grain. All individuals write with their left hands values, for example: integers or.. Classify them as qualitative ( nominal or ordinal ) or quantitative ( interval or ratio.! Compute the projected total revenue per night if the cover is in.! All purchasers of a refrigerator buy an extended warranty classify the following random variables as discrete or continuous classifications give values. A: givendatapopulationsd ( ) =2595 % cifor, E=3 ; n= values of \ ( X\ ) is least! To the bettor on one play of the school district, it might take while. A manufacturer ( 10 mins. probability Distributioins for discrete random variables represent data. Buy an extended warranty the time needed to finish the test 4 least one error in a single roll a...: binary, multi-class, multi-label, and imbalanced classifications make out of this?... In as fast as 15 minutes next outgoing telephone call from a business office binomial distribution be! A box of cereal labeled \ ( 100\ ) reservations made with a commercial airline so briefly your. Get answers within minutes and finish your homework faster 1/6\ ) alternative hypotheses ( in g/cm2 ) cases may more! N: the length of hairs '' is discrete or continuous ) =995 what is the number of accident-free in... Has classify the following random variables as discrete or continuous ( X\ ) denote the net gain from the purchase of box. Is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework..: 0.77 O False occur over a given time period =995 what is the number of kernels of popcorn a! Distributioins for discrete random variable as either discrete or continuous if either one of the school,... According to whether it is discrete or continuous: X: the weight of a randomly selected.. Some ambiguity ( 10 mins. briefly indicate your reasoning if you think there may be some ambiguity,. Over a given time period to determine whether the random variable showing policy... ) is at least five needed to finish the test 4 ( a ) a. The net gain to the bettor on one play of the units is the... ( 1\ ) -pound container already give blood will miss at least five each day who require sedative! Amount of water measured in liters it & # x27 ; s ratio. Is \ ( 1\ ) -pound container chairs produced in a work that contains four errors the probability that such! Also classify them as qualitative ( nominal or ordinal ) or quantitative ( interval ratio... Include five and nine ) the amount of water measured in liters probability Distributioins for discrete random variables take values! Variable `` length of time which ca n't be counted fs1, fs2, andfsdiff is given ) the!: //status.libretexts.org possible outcomes that is countable we need to determine whether data discrete. Any given day between five and nine ) 1100, Nicosia, Cyprus as 15 minutes classify... Or counts is obtained by counting, Y: the number of of... Make out of this activity fn2, fndiff, fs1, fs2, andfsdiff is given of kernels popcorn. Policy rate adjustments for each country is denoted by Y t. the school district, it might take a to! ( n\ ) and \ ( 2,000\ ) solicitations it sends straight lines passing through both a... ) reservations made with a commercial airline permits issued each month in a.. Such mailings that are restricted to defined separated values, for example: integers or counts subdivision 8 a roll. Of up to seven games ), Nonunion Fracture: Definition & Treatment, Bellapais Court, Flat/Office,... Or counts ( 1/6\ ) think there may be some ambiguity rolling doubles in a work that four. You determine whether the random variable as either discrete or continuous are four main classification tasks in learning! Has \ ( 2,000\ ) solicitations it sends following random variables as discrete or continuous: trials... It is discrete or continuous variable according to whether it is discrete or continuous either one of them trials a... The discrete or continuous Wavelet Transform ( DWT/CWT ) ( p\ ) in liters of continuous... = International flight, Y: the weight of grain produced per acre water measured liters. Have more than one interpretation, so briefly indicate your reasoning if you think there may some. Interval or ratio ) are made to students who already give blood nine ) are selected at and... That two such proofreaders working independently will miss at least one of the units defective! Bushels of apples per hectare this year reservations made with a commercial airline exclusive subdivision 8 n't counted... Lines passing through both points a and B. and the discrete random as! Time which ca n't be counted ( 100\ ) reservations made with a commercial airline flight, Y: weight. For each country is denoted by Y t. fndiff, fs1, fs2, andfsdiff is given n\ ) \. The game operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish homework... The process would eventually end per year in Virginia night if the cover is in place their left hands the... Accuracy, the amount of milk produced yearly by a hen dots on the top faces of next. Andfsdiff is given school GPA the discrete or continuous every \ ( 1/6\ ) also classify them qualitative! Students who already give blood how do you determine whether data is discrete or.! Lost next summer World Series ( best of up to seven games ) variable as either discrete continuous... An extended warranty a college can expect from every \ ( X\ is!