5. Suppose that we are going to sample 8 pieces of data from a normal distribution with a mean of 50 and a standard deviation of 3.5. Using the notation X for the sample mean, answer the following: a) What is the probability that our data average will be larger than 49.4? b) Find k so that P(k

Q: 1) The random variable V has PMF. Pv (v) = {cv² 0 a) Find the value of the constant c. b) Find P[VE…

A: The PMF of V is PV(v)=cv2v=1,2,3,40otherwise

Q: There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black…

A:

Q: A student takes an exam containing 11 true or false questions. If the student guesses, what is the…

A: Let X be the random variable from binomial distribution with probability (p) = 0.50 ( since there…

Q: 6.34 As in Exercises 6.6, 6.10, and 6.20, in a study of the particulate pollution in air samples…

A: Given that, the joint pdf of X and Y is,  f(x,y)= 1  ; 0<=x<=2 ; 0<=y<=1  ; 2y<=x…

Q: The following table shows age distribution and location of a random sample of Lamar District Nez…

A: Given data: Age Lamar District Nex Perce District Firehole District Row Total Calf 16 13 12 41…

Q: A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If…

A: given data,first prize-1 and get $1000secound prizes-2 and get $300third prizes -20 and get $10if…

Q: Elementary school: In a certain elementary school, 58% of the students are girls. A sample of 65…

A: a) Suppose p is the population proportion of girl students.

Q: When playing a lottery game, a player can either win money, get a free play, or they can lose. For a…

A: Given that odds in favor of winning money is  1:4. The probability of winning money is  1/(1+4) =1/5

Q: Suppose P(AIB) = X and P(A n B) = 8 What is P(B)?

A: P(A|B) = 14P(A∩B) = 18P(B) = ?

Q: ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 12. A player…

A: Given From the numbers 4 to 12 5 of them (4,6, 8, 10, 12) are even numbers and remaining 4 of them…

Q: Assume that random guesses are made for eight multiple choice questions on an SAT test, so that…

A: given data sample size (n) = 8P9correct) = p = 0.25x = no. of successes(correct)P(x<4) = ?

Q: The pep band designs a cheer that includes the follwing repeating pattern: stomp, stomp, clap, clap,…

A: Introduction: It is required to identify the 712th action.

Q: (9 points) A dodgeball team either wins, ties, or loses each game. If they lose a game, their…

A:

Q: A group consists of five Democrats and eight Republicans. Seven people are selected to attend a…

A: a. There are five democrats and eight republicans.

Q: A statistics instructor, when asked how students do on the first statistics exams claims that  the…

A: From the provided information, Sample size (n) = 22 Sample mean (x̄) = 74.2 Sample standard…

Q: The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in…

A: The roulette wheel has 38 numbers. The numbers are 0, 00, 1, 2, 3, ..., 34, 35, 36. The gambler to…

Q: There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data,  we want  to choose 2 letters, ,without replacement  letters A,B,C,D  and Ewe have to…

Q: The Roxbury CC Tigers basketball team scored 12 points in the first 6 minutes of a game. If they…

A: Given that, The Roxbury CC Tigers basketball team scored 12 points in the first 6 minutes of a game.

Q: Suppose you randomly choose a card from the first deck, add it to the second deck and then randomly…

A: Let us define some events A : ace is added to second deck. B : a king is added to second deck. C : a…

Q: A random variable X has a normal distribution N(13,49). (1) Find E(X) and V(X). (2) Find E(2X-10)…

A: Given:

Q: A club with 20 women and 17 men needs to choose three different members to be president, vice…

A: 17-men 20- women 37- total members choose three disffrent members to be president, vice president ,…

Q: udy of the accuracy of fast food drive-through orders, one restaurant had 39 orders that were not…

A: Given that  Sample size n =343 Favorable cases x =39 Sample proportion p^=x/n  =39/343 =0.1133…

Q: The average number of students per day in any given classroom at Lakeland High School is about 22.…

A: Given,The average number of students per day in any given classroom is 22.A random variable…

Q: 2. Suppose the weekly amount spent on computer repairs is normally distributed with a mean of $500…

A: Given that.   X~N( μ , ?)   μ=500     , ?=30   Z-score =( x - μ )/?

Q: An astronomy quiz contains seven multiple-choice questions. Let x represent the number of questions…

A: Here we have given the questionabout random variable  X : Number of questions students answers…

Q: You buy a stock that has an annual expected return of 12.05% and a standard deviation of 29.80%.…

A: Given information: You buy a stock that has an annual expected return of 12.05% and a standard…

Q: (a) What is the probability density function of aX + bY? (b) Compute E[X|X − 2Y] and E[X²|X – 2Y].

A:

Q: Suppose that 30% of all small businesses are undercapitalized, 40% of all undercapitalized small…

A: Given Information: 30% of all small businesses are undercapitalized. 40% of all undercapitalized…

Q: A mini-test consists of three multiple choice questions each with three answers to choose from. The…

A: Given that, A mini-test consists of three multiple choice questions each with three answers to…

Q: Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing…

A:

Q: a personal director is interviewing candidates for three identical open positions. only ten percent…

A: Let X denotes the number of candidates the personal director interviews for three identical open…

Q: The average number of students per day in any given classroom at Lakeland High School is about 22.…

A: Given that The average number of students per day in any given classroom at Lakeland High School is…

Q: What is the probability that the birthdays of at least two students of a class of size n are at most…

A: let B be the situation or case that two individuals of a class of size n are at most k days apart.…

Q: AP Statistics Unit 5 Part 1 Review/Practice Homework- Chapters 13 & 14 3. Joe's Diner employs three…

A: Given that, Joe's Diner employs three dishwashers, Al, Betty, and Chuck. Al washes 40% of the dishes…

Q: a bowl has ten beads, 4 white and 6 re. two beads are selected, one at a time without replacement i)…

A: Hypergeometric distribution is the type of discrete probability distribution. It is used under the…

Q: 2. A survey found that 73% of Americans have a home phone, 83% have a cell phone, and 58% of people…

A: Let A be the event for  American home phone  B be the event for American cell phone Given  P(A)=73%,…

Q: One half of the people in the United States own individual stocks. In a random sample of 12 people,…

A: Given that  Number of trials n=5 Success of probability p=0.5 X~binomial (n,p)

Q: Let X₁, X₂, X, be a random sample from a binomial distribution X with parameter 20 and 0.3, i.e.,…

A: Solution

Q: Suppose now that you were going to estimate P(1 ≤ A ≤ 2) by approximating A with a standard normal…

A: Z is known as standard normal variable.   Note: According to Bartleby guidelines we can solve only…

Q: dtermine thevalue of c that makes the function f(x,y)=c(x+y) a joint probability density function…

A: Given that  f(x,y)=c(x+y)  , 0<x<3 and 0<y<3

Q: o flips and Y the number of heads to occur on the last two flips. int probability function, along…

A:

Q: Negative Test Result Total % 114 % 1155 594 Use the preceding data to estimate each of the…

A: It is given that  Total number of persons = 2006 Total test negative persons = 708 Total number of…

Q: Monthly cell phone bills for residents of a city have mean €60 and standard deviation €12. Simple…

A: Given that  Mean = M = 60 , Standard deviation = SD = 12

Q: a. Suppose X is a random variable with mean μ. What can you say about P(X> 3u)? b. Suppose in…

A: Solution-: We want to  (a) Consider X is a random variable with mean μ.What can you say about…

Q: Consider the following Markov chain. Assuming that the process starts in state 3, what is the…

A: Given the transition diagram of a Markov chain with 6 states as

Q: Suppose that (Xn) is a sequence of integer-valued random variab Show that weak convergence of Xn →Xo…

A:

Q: Suppose that X, Y, and Z are random variables with X Bin(7, 1/6), Y Geom(1/2), and Poisson(6).…

A: Given that X, Y and Z are random variables with X~Bin7,16Y~Geom12Z~Poisson6 X and Y are independent.…

Q: The probability of parents having a child with blonde hair is 1/5. If there are 8 children in the…

A: It is given that n = 8 and p = 1/5.

Q: In a deal or no deal game where there are 26 cases and 6 cases were opened. What is the probability…

A: It has not been mentioned in the question, what is the criterion to win $1,000,000. As this is the…