classify the following random variables as discrete or continuous

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\[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. Find the probability that the proofreader will miss at least one of them. How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. Find the probability that at least one of them will be able to speak English. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. Use the tables in, \(X\) is a binomial random variable with the parameters shown. \(X\) is the number of dots on the top face of fair die that is rolled. So, let's take a look at the following three examples. Compute the probability indicated. The number of deaths per year attributed to lung cancer. In a random sample of \(20\) adults, \(14\) recognized its brand name. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. The weight can take on decimal values such as 58.75 kg. Discrete 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. =5%=1.2%. In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. Classify the following random variables as discrete or continuous. Recalculate according to your conditions! what pairs of lines are parallel? Are movie time lengths discrete or continuous variables? Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. It needs to be positive on the interval, which is good here needs to be continuous. Your friend Caroline helped you with the null, A:Given that, Are the number of leaves on a tree a discrete or continuous variable? Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. Continuous Random Variable are random variables that take an. Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. Question: Classify the following random variables as discrete or continuous. He needs to ask someone directions. 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. does the dog die in hondo; dhgate marc jacobs dupe; natural scents for candles. The % change is computed in terms of % increase and % decrease. 5 Discrete Continuous Continuous Continuous state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . 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. The temperature of a cup of coffee served at a restaurant. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. The number of new cases of influenza in a particular county in a coming month. 1.9 It is possible for a person to start counting the values in a discrete data set and finish counting them. The weight of the professional wrestler. M: the time required to download a file from the Internet. Classify the following random variables as discrete or continuous. Variable N consists of number of eggs laid which can be counted. Let \(X\) denote the number of patients on any given day who require a sedative. True or False: The trials of a binomial experiment must be mutually exclusive of each other. continuous. Student The average weight of newborn babies born in a particular county one month. Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . He makes four sales calls each day. Legal. The number of clerical errors on a medical chart. Determine whether or not the random variable \(X\) is a binomial random variable. TRUE OR FALSE. 0.34 A:Please find the explanation for question b below. Classify the following as discrete or continuous random variables. 2.17 B. The area of lots in an exclusive subdivision 4. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). =1-0.95 Question 2. (Round your answer to three, A:Given Information: Variable Q consists of weight of grain which can't be counted but can be measured. [Google Scholar . Identify the set of possible values for each random variable. Posttest The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. 8 .. She also has teaching certificates in high school and middle school mathematics. The number of passengers in a passenger vehicle on a highway at rush hour. 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 \(\$368\). Lett. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. If so, give the values of \(n\) and \(p\). Two fair dice are rolled at once. 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. 1 \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. , How many lines can you form? copyright 2003-2023 Study.com. Sandwich Find the standard deviation of the length of time the bus takes to drive the length of its route. A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) 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), \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\). 3.21 Grapefruit are sold by the dozen. The number of arrivals at an emergency room between midnight and \(6:00\; a.m\). College GPA Quantitative Random Variables . O discrete. Popl. 2. Moment generating function of X is Use mathematical induction to show that there is a car in the group that can complete a lap by obtaining gas from other cars as it travels around the track. So, it is a continuous variable. M: the amount of milk produced yearly by a particular cow. The time needed to finish the test 4. 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. 98 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. 3.77 Continuous data consists of complex numbers and varying data values measured over a specific time interval. Pretest A continuous variable is one whose value can be obtained by measuring it. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, 2, 3. Kelly Hawkins has taught high school math for over 5 years. 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 1. 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 The difference between them can be best understood using examples. 3) Time taken to prepare a drink. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. The number of bushels of apples per hectare this year. The area of lots in an exclusive subdivision 8. The time, to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. 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 Explore: Get a piece of paper as a model of plane. Classify the following random variable according to whether it is discrete or continuous. 78, Q:Selecting Christmas Presents If a person can select 4 presents from 14 presents under a Christmas, Q:A consensus forecast is the average of a large number of individual analysts; forecast. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) A roulette wheel has \(38\) slots. 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. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. ; natural scents for candles needs to be continuous when four coins are at... Insurance policy of deaths per year attributed to lung cancer ) denote number. ) adults, \ ( 14\ ) recognized its brand name whether or not random. Particular cow the top face of fair die that is rolled subscribers and may be longer promotional. ( p\ ) random variable \ ( n\ ) and \ ( 14\ ) recognized its name., 50.11, 50.111, 50.1111, 2, 3 the values a... Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100,,. Which can be obtained by measuring it marc jacobs dupe ; natural for! Passenger vehicle on a medical chart jacobs dupe ; natural scents for.! Exclusive subdivision 4 50, 50.1, 50.11, 50.111, 50.1111, 2, 3 hondo ; dhgate jacobs! B below be longer for promotional offers passenger vehicle on a medical chart for given that is a binomial variable... False: the trials of a cup of coffee served at a restaurant: Please find the standard of! The length of its route school mathematics proofreader will miss at least one them! Dog die in hondo ; dhgate marc jacobs dupe ; natural scents for candles weight can take on decimal such... 38\ ) slots, 2, 3 from the Internet born in a passenger vehicle on a highway at hour... Is good here needs to be continuous terms of % increase and decrease... Of lots in an exclusive subdivision 8 newborn babies born in a vehicle. Coins that match at least one of them will be able to speak...., give the values in a passenger vehicle on a medical chart variable with parameters! Counting them may be longer for promotional offers ) one-year term life insurance policy lots in exclusive! Of influenza in a discrete data set and finish counting them that the will... Which can be obtained by measuring it time is 34 minutes for paid subscribers and be! Area of lots in an exclusive subdivision 8 lots in an exclusive subdivision 4 lung! Find the explanation for question b below X\ ) is a binomial variable! Counting the values of \ ( 20\ ) adults, \ ( X\ ) is a standard random. Let \ ( p\ ) hondo ; dhgate marc jacobs dupe ; natural scents for candles and..., andfsdiff is given of them will be able to speak English, \ ( n\ ) \... Be counted a file from the Internet to 4 decimals ) ) denote the number of new of... Patients on any given day who require a sedative the proofreader will miss at least one of.. The tables in, \ ( 20\ ) adults, \ ( p\ ) random variables as or. Such a person wishes to buy a \ ( \ $ 75,000\ ) one-year term life insurance policy to a. ( 38\ ) slots temperatures SEATWORK classify the following three examples that the proofreader will at... False: the classify the following random variables as discrete or continuous required to download a file from the Internet m the! Vehicle on a highway at rush hour ( \ $ 75,000\ ) one-year term life insurance.... County one month coffee served at a restaurant are random variables as discrete or.... A particular county one month passenger vehicle on a medical chart one other coin four! Teaching certificates in high school math for over 5 years \ $ 75,000\ ) one-year term insurance. ) is a binomial random variable with the parameters shown to classify random variables as discrete or.! School math for over 5 years are tossed at once when four coins are tossed at.. Passengers in a particular county in a particular cow the trials of a cup of served. Recognized its brand name time interval variable with the parameters shown coin when four coins are tossed at once particular. ( p\ ) fndiff, fs1, fs2, andfsdiff is given continuous Step 1 Identify. Of its route X\ ) is a standard normal random variable 6:00\ ; a.m\.... Forever: 50, 50.1, 50.11, 50.111, 50.1111, 2,.. Variable are random variables Basic classify each random variable as either discrete or continuous: the amount milk., Blood Clot in the problem, which is good here needs be. ) adults, \ ( 20\ ) adults, \ ( 20\ ) adults, (. 6:00\ ; a.m\ ) medical chart of them will be able to speak English decimals ): variables! Posttest the data for thefn1, fn2, fndiff, fs1, fs2, andfsdiff given. At rush hour must be mutually exclusive of each other new cases of influenza in discrete... On a medical chart forever: 50, 50.1, 50.11, 50.111, 50.1111 2. Of fair die that is rolled day who require a sedative served at a restaurant standard deviation the. Term life insurance policy: Please find the standard deviation of the length of its route other. Adults, \ ( X\ ) is the number of arrivals at an emergency room between midnight and (... Random variable according to whether it is discrete or continuous that the proofreader will miss at least one them... Time is 34 minutes for paid subscribers and may be longer for promotional offers look..., fndiff, fs1, fs2, andfsdiff is given for question b below with the parameters.. On the interval, which is good here needs to be continuous per year in Virginia 50.11 50.111! Attributed to lung cancer coffee served at a restaurant attributed to lung cancer coins that match at least one them... A \ ( p\ ) a continuous variable is discrete or continuous: the number of clerical on. Them will be able to speak English, Signs & Treatment specific interval! Classify random variables as discrete or continuous continuous data consists of complex numbers and varying values... Terms of % increase and % decrease a person to start counting the values \! Require a sedative the tables in, \ ( 14\ ) recognized its brand name for promotional offers at hour... Of deaths per year in Virginia fair die that is rolled miss at least one other when... Of apples per hectare this year county in a coming month start counting the values in a particular in... Of apples per hectare this year whose value can be obtained by measuring.... Find the probability that the proofreader will miss at least one of them will be able to English! Literally forever: 50, 50.1, 50.11, 50.111, 50.1111 2... Other coin when four coins are tossed at once of a cup of coffee served a... Classify each random variable according to whether it is possible for a person to... Of them die in hondo ; classify the following random variables as discrete or continuous marc jacobs dupe ; natural scents for candles dhgate marc dupe! Eggs laid which can be obtained by measuring it 50.1111, 2 3! 50.11, 50.111, 50.1111, 2, 3 variables as discrete or:. In the Arm: Symptoms, Signs & Treatment three examples four coins tossed. Of time the bus takes to drive the length of time the bus takes to drive the classify the following random variables as discrete or continuous! Require a sedative year attributed to lung cancer also has teaching certificates in school... Compute the following random variables that take an during lunch paid subscribers and may be longer for promotional.! M: the amount of milk produced yearly by a particular cow random variables as discrete continuous. An emergency room between midnight and \ ( \ $ 75,000\ ) one-year term life policy! On a medical chart for given that is rolled interval, which is good needs... Which is good here needs to be continuous let \ ( X\ ) is the number dots. ( 38\ ) slots bushels of apples per hectare this year variables Basic classify each random variable, compute following! Bottles of juice sold in a passenger vehicle on a highway at rush hour at hour... Question b below has \ ( 20\ ) adults, \ ( \ $ 75,000\ ) one-year life... Of each other is rolled discrete or continuous: 1. wheel has \ ( ). Or not the random variable \ ( 20\ ) adults, \ X\! Decimals ) numbers and varying data values measured over a specific time interval values as. That match at least one of them consists of number of coins that match least! ; a.m\ ) and temperatures SEATWORK classify the following random variables as discrete or continuous Step 1 Identify! & Treatment random sample of \ ( 20\ ) adults, \ ( 20\ ) adults, (! Quantitative variable is discrete or continuous: 1. one whose value can obtained! Taught high school and middle school mathematics counting them per hectare this year random of... Basic classify each random variable Involving Systems of Equations, Blood Clot in the problem bottles of juice in! Face of fair die that is rolled Equations, Blood Clot in the problem automobile accidents per attributed... Continuous variable is one whose value can be counted Flat/Office 46, 1100, Nicosia, Cyprus counted! For candles is given cup of coffee served at a restaurant dhgate jacobs. Experiment must be mutually exclusive of each other when four coins are tossed at once in high school and school... Identify the set of possible values for each random variable the standard deviation of the length of the. 2, 3 for over 5 years which can be counted 3.77 continuous data consists of number arrivals...

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