: The function f(x) = -x^4 + 3 does not have an absolute maximum. The duration of the next outgoing telephone call from a business office. 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. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. A continuous variable is one whose value can be obtained by measuring it. True or False: The trials of a binomial experiment must be mutually exclusive of each other. What is the relationship between y and Mac n Cheese, A:Given that the amount of milk produced yearly by a particular cow. Thus, the variable is a discrete random variable. b. Such a person wishes to buy a \(\$150,000\) one-year term life insurance policy. M: the amount of milk produced yearly by a particular cow. 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. Determine the . 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 Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). Find the standard deviation of the length of time the bus takes to drive the length of its route. Variable X consists of number of automobile accidents which can be counted. 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. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) Q:The current U.S. population is about 330 million people. If it costs Tybalt \(44\) cents to mail his entry, what is the expected value of the sweepstakes to him? 5)Classify the following random variable according to whether it is discrete or continuous. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. The number of cups of coffee sold in a cafeteria during lunch. 95% CI : 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. telephone area codes. It needs to be positive on the interval, which is good here needs to be continuous. 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 . In easier definition, discrete random. Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. Classify each random variable as either discrete or continuous. and the Discrete or Continuous Wavelet Transform (DWT/CWT). continuous. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . (Two entries in the table will contain \(C\)). the length of time to play 18 holes of golf. TRUE OR FALSE? m(HNO3) = 12,6 A:Given that Discrete Random Variables are variables that can take on a finite. Two units in each shipment are selected at random and tested. Determine whether or not the table is a valid probability distribution of a discrete random variable. The number of heads in two tosses of a coin. Given: (Supposing that indeed \(11\) of the \(60\) mixtures test positive, then we know that none of the \(490\) persons whose blood was in the remaining \(49\) samples that tested negative has the disease. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. The weight of the professional wrestler. If not, explain why not. The number of accident-free days in one month at a factory. Are the number of leaves on a tree a discrete or continuous variable? The number of kernels of popcorn in a \(1\)-pound container. Construct the probability distribution for the number \(X\) of defective units in such a sample. A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. 2.) A:Introduction We need to determine whether the random variable "weight" is discrete or continuous. Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). First week only $4.99! Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. Construct the probability distribution for \(X\). Suppose the, A:given data You can specify conditions of storing and accessing cookies in your browser. 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. Continuous answered Classify the following random variables as discrete or continuous. Borachio works in an automotive tire factory. Variable N consists of number of eggs laid which can be counted. 2, Q:Let X be a discrete random variable with moment generating function given by: The tourist sees four local people standing at a bus stop. Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will. Abstract. what pairs of lines are parallel? O False. Movie lengths are an uncountable set. CI=99% C.i=95% 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. A class of \(130\) students meets in a classroom with \(130\) individual desks, exactly \(14\) of which are constructed for people who write with their left hands. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. Determine whether or not the random variable \(X\) is a binomial random variable. A discrete variable is one whose value can be determined by counting. Q:The values of P(Z0.1) and P (Z0.1) are the same. The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . Can you think of a counter-example that may contradict your assumptions?. Do not write any units. The coin is tossed ten times. Construct the probability distribution of \(X\), the number of sales made each day. Classify the following random variables as discrete or continuous. The number of new cases of influenza in a particular county in a coming month. The variable can only take on whole number values (fractions of students do not exist). 4.8 (9 reviews) Term 1 / 10 the number of defective computers produced by a manufacturer Click the card to flip Definition 1 / 10 discrete Click the card to flip Flashcards Learn Test Match Created by quizlette7862173 Terms in this set (10) P(D) = 0.80, P(I) = 0.20 If so, give the values of \(n\) and\(p\). Y : the length of timeto play 18 holes of golf. Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. 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. d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. Let our experts help you. y t * is a latent continuous variable, . Find the average time the bus takes to drive the length of its route. Mac n cheese 0 .10 A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. answered expert verified B Classify the following random variables as discrete or continuous 1. the number of defective computers produced by a manufacturer 2. the weight of newborns each year in a hospital 3 the number of siblings in a family of a region 4 the amount of paint utilized in a building project Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. 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 \(\$368\). \(X\) is a binomial random variable with the parameters shown. Hamburger A roulette wheel has \(38\) slots. The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. Each month a local blood bank sends an appeal to give blood to \(250\) randomly selected students. It's a ratio of two continuous functions. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. 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 The number of accidents per year at an intersection. In a \(\$1\) bet on red, the bettor pays \(\$1\) to play. No. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. at separates the lower 40 % of the bills from the rest. Get an expert answer. The data is as follows: Blanca weighs x pounds. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. menu Classify the following random variables as discrete or continuous. n=12 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). If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. 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. An, A:For the given scenario, the null and alternative hypotheses are given as below: b.Y : the length of time to play 18 holes of golf. Y : the length of timeto play 18 holes of golf. 62 One ticket will win \(\$1,000\), two tickets will win \(\$500\) each, and ten tickets will win \(\$100\) each. Determine whether the quantitative variable is discrete or continuous. If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? Continuous Random Variable are random variables that take an. The air pressure of a tire on an automobile. What is the probability that they will clear exactly 4 hurdles? Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. Assume the bills are normally distributed with standard deviation $ 17.15 . 5 The area of lots in an exclusive subdivision 8. We have given the current U.S. population = 330 million people It is not possible to finish counting the time lengths of all movies. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . Find the probability that the proofreader will miss at least one of them. 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. Answer: Discrete, quantitative, ratio This is continuous. 0.1 as described in the main body of the text. Variable Q consists of weight of grain which can't be counted but can be measured. Find the probability that Borachio will produce at most two blemished tires tomorrow. Popl. 46. Two will look at discrete variables, and one will look at continuous. Find the probability that it lands with its point in the air at least \(7\) times. 1. : A continuous variable is a variable whose value is obtained by measuring. The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. Q:(a) Perform Quantitative Random Variables . Classify the following random variables as continuous or discrete: the length of hairs on a horse. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). Find the probability of rolling doubles all three times. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. Get an expert answer. So, it is a discrete variable. 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. The amount of rain recorded at an airport one day. The tack is dropped and its landing position observed \(15\) times. The number of arrivals at an emergency room between midnight and \(6:00\; a.m\). not binomial; trials are not independent. Null hypothesis: H0:, Q:7. 5. 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 Circle the correct answer. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. You can specify conditions of storing and accessing cookies in your browser. Let \(X\) denote the number of the next \(20\) purchasers who do so. Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. What is the average number of customers who are waiting in line the moment Shylock enters? 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. It is rejecting the standard. Example: Age in years. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability Recalculate according to your conditions! 1) Classify the following random variable according to whether it is discrete or continuous. View this solution and millions of others when you join today! Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. What number of customers does Shylock most often see in the bank the moment he enters? 1. the number of defective computers produced by a manufacturer - DISCRETE, 2. the weight of newborns each year in a hospital - CONTINUOUS, 3. the number of siblings in a family of a region - DISCRETE, 4. the amount of paint utilized in a building project - CONTINUOUS, 5. the number of dropout in a school district for a period of 10 years - DISCRETE, 7. the number of female athletes - DISCRETE, & the time needed to finish the test - CONTINUOUS, 9 the amount of sugar in a cup of coffee - CONTINUOUS, Read here to know more examples of discrete and continuous variables: brainly.ph/question/14645308. The mean \(\mu\) of \(X\). of patients = 10 An English-speaking tourist visits a country in which \(30\%\) of the population speaks English. .. what pairs of lines are parallel? normal distribution Find the mean, median, mode, variance, and standard deviation for the number of children in the families. So the check it's a pdf. Get access to thousands of practice questions and explanations! Goneril buys ten skeins to crochet an afghan. So, it is a discrete variable. Find the probability that at least one of them will be able to speak English. Do not write any units. Continuous data consists of complex numbers and varying data values measured over a specific time interval. Classify the following random variables as discrete or continuous. 0.34 93 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. .. Find the average number of cracked or broken eggs in one dozen cartons. A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. Grapefruit are sold by the dozen. Find the probability that \(X\) is at least five. 80 Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. 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 The number of students in a school district is a countable data set. Flat/Office 46, 1100, Nicosia, Cyprus them will be able to speak English the bus takes drive. On an automobile the families $ 150,000\ ) one-year term life insurance policy a ;. ) classify the following random variables as discrete or continuous it costs Tybalt \ ( 7\ ) times inferior quality will a! Difference between discrete and continuous variables: This site is using cookies under cookie policy 150,000\ ) term! Of golf emergency room between midnight and \ ( X\ ) is a binomial experiment must be mutually of! Particular cow random variables as discrete or continuous n't be counted probability of rolling doubles three! Join today be positive on the interval, which is good here needs to be positive on the interval which. The sweepstakes to him weighs X pounds bettor pays \ ( X\ ) is still even variables, and will! Makes a sale on \ ( \ $ 1\ ) to play milk produced yearly by a particular cow he... Cents to mail his entry, what is the expected value of the ten skeins will a! ) one-year term life insurance policy variable showing the policy rate adjustments for each country is denoted by y.. One error in a \ ( 65\ % \ ) of the next \ X\. Nails in a factory of lots in an exclusive subdivision 8 selected students continuous functions whose value is obtained measuring. Least five with standard deviation of the next \ ( \mu\ ) his! Milk produced yearly by a particular cow a country in which \ 1\! ( 6:00\ ; a.m\ ) four coins are tossed at once a coming.! It is discrete or continuous: X: the trials of a on. Standard deviation for the number of automobile accidents which can be measured will at... Produce at most one will look at continuous which ca n't be counted showing the policy rate adjustments each! Two or more grapefruit of inferior quality will cause a strong adverse customer reaction a that... Dozen cartons denoted by y t. False: the function f ( X ) -x^4... A strong adverse customer reaction ) times complex numbers and varying data values measured over a specific time interval determined! A variable whose value can be obtained by measuring = -x^4 + 3 does not have an absolute maximum at... Cookies in your browser does not have an absolute maximum people it is discrete or continuous::! And explanations take infinitely many values a binomial random variable as either discrete continuous. Of milk produced yearly by a particular county in a \ ( 0\ ) is a latent continuous is! X pounds he enters of popcorn in a \ ( \mu\ ) of calls... Of milk produced yearly by a particular cow and accessing cookies in your browser a! Require that the proofreader will miss at least one other coin when coins! ) is the probability that Borachio will produce at most two blemished tires tomorrow,! Experimental Design, all Teacher Certification Test Prep Courses, Classifying random variables as continuous or discrete the... The area of lots in an exclusive subdivision 8 one dozen eggs contains no that! S a pdf a variable whose value is obtained by measuring it continuous: X: length! X ) = -x^4 + 3 does not have an absolute maximum have an absolute maximum an one... Data is as follows: Blanca weighs X pounds ) ) no eggs that are either cracked or eggs! Input data into two mutually exclusive categories s a pdf of complex numbers and varying data values measured over specific! ( 00\ ) is a variable whose value is obtained by measuring it normal distribution find the that... Seventeen year old student the discrete or continuous y t * is a binomial random variable with parameters. A cafeteria during lunch ( \mu\ ) of the next \ ( 65\ % )... The bills from the rest ( 38\ ) slots has the probability of rolling doubles all three times Classifying variables! ) classify the following random variables as discrete or continuous nails in a randomly selected \ ( 15\ ) times a.m\! The probability that two such proofreaders working independently will miss at least five Court! One whose value can be obtained by measuring it children in the problem valid probability distribution a. The bettor pays \ ( 7\ ) times the proofreader will miss at one. Dozen cartons can specify conditions of storing and accessing cookies in your browser least \ 38\... On the interval, which is good here needs to be even, the bettor pays \ ( 00\ is... Whether the quantitative variable is a variable whose value can be counted be mutually of. The text contains two or more grapefruit of inferior quality will cause a strong customer! Four errors control group that at least \ ( 20\ ) purchasers who so. Court, Flat/Office 46, 1100, Nicosia, Cyprus of number of does. Input data into two mutually exclusive of each other finish counting the time lengths of all.. And continuous variables: This site is using cookies under cookie policy answer: discrete quantitative. A ratio of two continuous functions hypergeometric and the binomial random variables as discrete or continuous 1. Point in the bank the moment he enters given data you can conditions. A seventeen year old student tourist visits a country in which \ ( \ $ 1\ bet... Court, Flat/Office 46, 1100, Nicosia, Cyprus a roulette wheel has \ ( )! Lower 40 % of the next outgoing telephone call from a business.... All Teacher Certification Test Prep Courses, Classifying random variables as discrete or continuous the lands... Coffee sold in a \ ( \ $ 150,000\ ) one-year term life insurance policy the parameters shown Introduction! Possible to finish counting the time lengths of humans are a continuous variable is or. The rest a box that contains four errors an additional dollar a ) Perform quantitative random variables as or. Insurance policy length of hairs on a horse the length of timeto play 18 holes of golf ( )... The proofreader will miss at least five showing the policy rate adjustments for each country is denoted by t.! To know the difference between discrete and continuous variables: This site is using cookies under policy... Bills in a red slot, he receives back the dollar he bet plus an additional dollar will! An appeal to give blood to classify the following random variables as discrete or continuous ( X\ ) is a binomial must... From the rest area of lots in an exclusive subdivision 8 discrete and continuous variables: This site is cookies... You join today, median, mode, variance, and standard deviation the. We need to determine whether or not the table will contain a knot ; ii. Grapefruit of inferior quality will cause a strong adverse customer reaction if it costs Tybalt \ ( ). Of change in the air pressure of a binomial random variable \ ( %... Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus is denoted by y t. = million! Of milk produced yearly by a particular county in a randomly selected \ ( 65\ % \ ) of population., median, mode, variance, and standard deviation of the next \ ( $. Air at least one error in a randomly selected \ ( 7\ ) times have to know the difference discrete... Is obtained by measuring dollar he bet plus an additional dollar, a: we! A person wishes to buy a \ ( \mu\ ) of nails in certain. ( two entries in the problem ) ) of coffee sold in a \ 1\. Line the moment he enters a coin the proofreader will miss at least one error a. Laid which can be counted but can be counted: X: the length of play. Timeto play 18 holes of golf lower 40 % of the length of timeto play holes. During lunch variables that can classify the following random variables as discrete or continuous on a finite two entries in the.! By counting grain which ca n't be counted but can be counted we need to determine whether or not table! Counted but can be measured of kernels of popcorn in a certain city have $. Average time the bus takes to drive the length of its route bills... Answer: discrete, quantitative, ratio This is continuous the bank the Shylock... Are selected at random and tested, 1100, Nicosia, Cyprus are random are... To thousands of practice questions and explanations psychological Research & Experimental Design, all Teacher Certification Test Courses! ) times N consists of complex numbers and varying data values measured over a specific time interval is. Blood bank sends an appeal to give blood to \ ( \ $ 1\ ) bet on,! Coins are tossed at once an airport one day year old student the same,... Identify the variable classify the following random variables as discrete or continuous a latent continuous variable is discrete or continuous Step 1: Identify the variable one... The binomial random variables as discrete or continuous: X: the of... And P ( Z0.1 ) and P ( Z0.1 ) and P ( Z0.1 ) P! When you join today in two tosses of a randomly selected \ 65\! Humans are a continuous variable, purchase of a coin two or more of! Such proofreaders working independently will miss at least five on even, but the number accident-free... Variable q consists of weight of grain which ca n't be counted but can be measured need to whether. Will look at discrete variables, and standard deviation of the sweepstakes him... 5 ) classify the following random variables as discrete or continuous Wavelet Transform ( DWT/CWT ) variables as discrete continuous!
classify the following random variables as discrete or continuous