Suppose that a die is rolled two times. What are the possible values that the following random variables can take on? (a) W = the maximum value that appears in the two rolls (b) X = the minimum value that appears in the two rolls (c) Y = the sum of the two rolls (d) Z = the value of the first roll minus the value of the second roll What are the probabilities for each of values of the random variable. . . (a) W? (b) X? (c) Y? (d) Z?

Suppose that a die is rolled two times. What are the possible values that the following random variables can take on? (a) W = the maximum value that appears in the two rolls (b) X = the minimum value that appears in the two rolls (c) Y = the sum of the two rolls (d) Z = the value of the first roll minus the value of the second roll What are the probabilities for each of values of the random variable. . . (a) W? (b) X? (c) Y? (d) Z?

Name: Suppose that a die is rolled two times. What are the possible values t
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Suppose that a die is rolled two times. What are the possible values that the following random variables can take on?(a) W = the maximum value that appears in the two rolls(b) X = the minimum value that appears in the two rolls(c) Y = the sum of the

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Q. Two fair standard dice are rolled together and the random variable X returns the sum of the two…

A: Let's consider the possible outcomes when rolling two dice. Each die has six faces numbered from 1…

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Given that: Four outcomes of an experiment = {a,b,c,d} Probability of each outcome:…

Q: These questions concerns the following situation. There is a rain on a football ground. The ground…

Q: Let A and B be two events on the same sample space. The probability that the event A occurs equals…

Q: Let A and B be two events. Given P(A) = 0.74, P(B|A) = 0.59 and P(B|A') = 0.74, find the following…

A: Solution-: Given: P(A)=0.74,P(B/A)=0.59,P(B/A')=0.74 We find, (a) P(A∩B')=? (b) P(A'∩B)=? (c)…

Q: 1) A random experiment has the following sample space: {A, B, C, D, E, F} and each of the six…

A: Introduction: For a discrete random variable X, taking values X = x with probability mass function…

Q: A box contains four slips of paper marked 4, 5, 6, and 7. Two slips are selected without…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Suppose that a die is rolled twice. What are the possible values that the following random variables…

A: If a die is rolled twice, then the sample space is S=i, j: i=1, 2, 3,..., 6; j=1, 2, 3,..., 6. The…

Q: Suppose A and B are events in a sample space with P(A) = 0.6, P(B) = 0.65, P(BUA) = 0.84 Find the…

Q: bê évents in a sample space with P(A) = r, P(B) = y, and P(ANB) = z. Express each of the following…

A: Given Let A and B be events in a sample space P(A) = x, P(B) = y, P(A∩B) = z. x= 0.17,y = 0.13 ,…

Q: consider a random variable y= the number of broken eggs in a randomly selected carton of one dozen…

A: Given Data: y 0 1 2 3 4 p(y) 0.65 0.20 0.10 0.04…

Q: Let's think about the following three random variables: X, Y and Z where Var(A) = 1, Var(B) = 1.5…

A: Let, var(A) =1, var(B) =1.5, var(C)=2

Q: Exercise 2. In this question it is fine to use a calculator or computer to express your answers as…

A: Given that A and B form two random variables X1 and X2 by each rolling two dice. X1 is the sum of…

Q: Example 8.17 (Public Opinion Polling) We would like to estimate the portion of people who plan to…

Q: Given P(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81 are events A and B independent or dependent?

A: Given dataP(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81For the events to be independentP(A and B)…

Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

Q: Values of X T +1 Probabilities 10 • (i) Does the table represent a density of a random variable X? •…

A: We know for a probability distribution, i. P(x)>0 And ii. Sum of all probabilities add upto 1

Q: 3.A community has 120 sick people and has a hospital with 118 beds for its patients. patients. The…

A: There are 120 sick people in the community.There are 118 beds available in the hospital for…

Q: (b) Find u. (Enter your answer to two decimal places.) syringes What is the expected number of…

A: It is given that the sample of syringes are 8 and the probability of the defective syringes is 0.05.

Q: 1. Let the variable X be someone's disease status X = D then someone has strep throat X = Dc then…

Q: Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided…

A: Sample space: The set of all possible outcomes of a probability experiment is called sample space of…

Q: Based on the data, which conclusion is NOT valid? Given that a randomly selected student is a male,…

Q: Suppose a random excitement has a sample space of {a, b, c, d, e}. The probabilities of ‘a’ , ‘b’ ,…

A: The sample space is given as follows:The probabilities of the elements are given as follows:Element…

Q: The probabilities of the outcomes of rolling a loaded (unfair) 6-sided die are as follows:…

A: We know that If the dice is rolled then the sample space. S={1,2,3,4,5,6} NOTE:- According to…

Q: A bag contains 10 red, 12 white and 8 blue balls. Three balls are drawn at random from this bag.…

Q: 1. Let Random variable X represent f times the number we throw a dice: What we 1 2 3 4 5 6 see on…

A: given data x p(x=X) x*p(x) x2 * p(x) f 1/6 f/6 f2 2f 1/6 2f/6 4f2/6 3f 1/6 3f/6 9f2/6 4f…

Q: If the conditional mean of one random variable given another is zero, then the two random variables…

A: Given that If the conditional mean of one random variable given another is zero, then the two…

Q: There is a ________% chance of randomly selecting a consumer who cannot live without both google and…

A: Given data about the brands American's can't live without

Q: a. The expected value of a sum of a finite number of random variables is the sum of the expected…

A: a)X1,X2...,Xn be finite number of random variable E(X1+X2+...+Xn)=E(X1)+...+E(Xn) Expected value of…

Q: Suppose A and B are events in a sample space with P(A) = 0.61, P(B) = 0.66, P(BUA) = 0.93 Find the…

Q: Which of the following probabilities for the sample points A, B, and C could be true if A, B, and…

A: Given There are only three sample points which are A,B,C So by axioms of probability P(A)≥0 P(B)≥0…

Q: 15. Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve.…

A: Let the random variable W represent the the number of worms found in 1 squaree foot of soil. Let…

Q: Determine the value/s of the random variable in each of the following situations: A game spinner…

A: Ans#- Given a game spinner with colors red, yellow, blue, and green is spun twice. Let Y…

Q: 1. RANDOM VARIABLE The accom- panying table lists probabilities for the corresponding numbers of…

A: Four unlicensed software packages are selected at random and the corresponding probabilities are…

Q: 1.Two dice are rolled. The random variable of interest, Y , is the absolute value of the difference…

A: Given, Two dice are rolled. The random variable of interest, Y , is the absolute value of the…

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Answer is 1 1. 0.4 2. 0.5 3. 0.8 4. 0.5 5. 1 6. 0.3

Q: If A and B are two events of a sample space then p(A)=0.2 and p(B)=0.6 a d p(A/B)=0.5 then P(A/B)=

Q: Suppose A and B are independent events with P(A)= 0.4 and P(B) = 0.3. Find the following…

A: Given data A and B are independent events P(A) = 0.4 P(B) = 0.3 P(A and B) = P(A) x P(B) = 0.4 x…

Q: et A and B be two events in a sample space U, such that: P(A) = 0.55, P(B) = 0.25 and P(AuB) = 0.60…

A: a) The union probability for any two events A and B is defined as P(A ∪ B) = P(A) + P(B) – P(A ∩…

Q: 3. Suppose that all of the outcomes of a random variable are {a,b,c,d,e}, and that each outcome as…

A: Given: The events A={a,b}, B={b,c}, and C={c,d}, and D={e}. To determine whether events A and B are…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

100%

Suppose that a die is rolled two times. What are the possible values that the following random variables can take on?

(a) W = the maximum value that appears in the two rolls

(b) X = the minimum value that appears in the two rolls

What are the probabilities for each of values of the random variable. . .

(a) W?

(b) X?

(d) Z?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

statictic bionomial distribution
Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C are the only sample points in an experiment? P(A) = 1/5, P(B) = 1/5, P(C) = 1/5 P(A) = 0, P(B) = 1/3, P(C) = 2/3 P(A) = 1/8, P(B) = 1/7, P(C) = 1/2 1/2, P(C) = 3/4 P(A)=1/4, P(B) =
What's the expected value of X and Y? A modified deck of cards is created with two 2s, three 3s, four 4s, and five 5s. The random variable X is defined as the number of 3s drawn when 5 cards are picked without replacement, and the variable Y is defined as the number of 3s drawn when 5 cards are picked with replacement.
if two random variables are independent, then a. knowing the value that one takes on tells nothing about the value the other will take on b. the correlation coefficient between the two variables will be zero O c. the covariance between the two variables will be zero o d.a and b
Suppose X is a random variable with possible values -2,-4 and 2 and with respective probabilities 0.42, 0.48, and 0.1 then E(5x-2x²) is: O a. -32.32 O b. 13.4144 O c. 0.3072 d. -39.0144 e. -25.9072
Given a random variable X between 0 and 3, if P(0) = .15, P(1) = .2, P(2)= .3, P(3) =? A.) 0.25 B.) 0.35 C.) 0.45 D.) 0.65 If P(high) = 0.3, P(low) = 0.7, P(favorable | high) = 0.9, and P(unfavorable | low) = 0.6, then P(favorable) = A.) 0.10 B.) 0.27 C.) 0.30 D.) 0.55
(a) Let A and B be two events of the same sample space. The probability that the event A occurs equals 0.2 The probability that the event B occurs equals 0.3 The probability that at least one of the events A and B occurs equals 0.4. Find the probabilities: (i) Both the events A and B occur. (ii) The event B occurs, given that the event A has occurred.
Roll a red die and a green die. Let the random variable be the larger of the two numbers if they are different and the common value if they are the same. (a) P(x=1) (b)P(x=4) (c) P(x<2) (d) P(3≤x≤6)
4. The number of students entering in the canteen at any given hour is represented by a random variable X. 40 50 70 80 X P(x) 60 0.1 0.2 0.4 0.1 0.2 Find the probability that at least 50 students enter in the canteen.
for a given level of the probability of rejecting the null hypothesis when its true, if we want to decrease the probability of not rejecting null hypothesis when it is false the sample must A) decrease B) remain the same C) increase D) increase or decrease since it has no impact on probability of not rejecting null hypothesis when it’s false
1) The probabilities of poor print quality given “no printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0, 0.3, 0.4, and 0.6 respectively. The probabilities of “no printer problem”, “misaligned paper”, “high ink viscosity”, or “printer-head debris” are 0.7, 0.05, 0.15 and 0.1, respectively. (a) Determine the probability of “high ink viscosity” given poor print quality (b) Given poor print quality, what problem is most likely?
Given P(A and B) = 0.34, P(A) = 0.94, and P(B) = 0.36 are events A and B independent or dependent?