When leaving a certain subway station a person can exit through any one of three gates, and any person is equally likely to select each of the three gates. Now suppose four people exit the subway station. Use the multinomial distribution to find the probability that Two people select gate A, one person selects gate B, and one person selects gate C.

Q: According to an airline, a particular flight is on time 91% of the time. Suppose 41 flights are…

A: given data  sample size (n) = 41 P(flight on time) =p=0.91 x = no. of flights on time P(X=x) =…

Q: Chapter 10. Suppose you know that Var(Z) (a) Let Z be a discrete random variable taking one of the…

A: Given:-              Random variable z from any distribution like geometric, Poisson, Bernoulli:…

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A:

Q: K Gasoline prices. At one point, the average price of a gallon of gasoline in Country A was $1.541.…

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Q: At Lincoln Library there are two ways to pay for copying. You can pay 18 cents a copy, or you can…

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Q: accordingly. Typed answer only. Please do it fast and good answer. the size of an adult fish is…

A: Given that.   X~N( μ , ?)   μ=12.05     , ?=0.02   Z-score =( x - μ )/?

Q: In a drawer, there are 13 pairs of socks, 10 of which are white, and 8 t-shirts, 5 of which are…

A: Here in a drawer there are 13 pairs of shock from which 10 are white. 8 t-shirts from which 5 are…

Q: Z is distributed as a standard normal variable. Calculate the following probability using Excel.…

A:

Q: The ABC facility has 213 pieces of equipment in their facility. Each piece of equipment requires…

A: The probability that a particular or specific substance or thing of apparatus requires cyclic care…

Q: X = √-2 log U cos(2πV), Find the joint distribution of X and Y. (Hint: you may want to first compute…

A:

Q: It is the beginning of September and you have been offered the following deal to go heli-skiing. If…

A: From given data we have : Probability = 30% Cost of vacation = $4600 Cost of capital = 11% per year…

Q: Let 2 be discrete random variable taking of mama the four distributions covered Le-g…

A:

Q: gray. Dave selects a T-shirt at random. What is the probability that Dave will select a gray…

A: Given Dave's wardrobe contains 25 T-shirts, of which 10 are gray.

Q: Problem 4 Suppose that the pdf of a certain rv X is given on the right. (1) Determine P(X < 1/2).…

A: Answer: - Given, the pdf of X is                 f(x) = 3x20&lt;x&lt;10otherwise         (1).  Find…

Q: Conditional probability distribution Y given that X = 0.5 f(x, y) 1/3 1/6 1/6 1/3 fy|x (y) x -1.0…

A:

Q: Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in…

A: A combination is a selection of items from a group of items, where the order of selection is not…

Q: Consider the following election with five candidates and 7 voters. Use the methods indicated below…

A: Given information:   1 1 1 1 1 1 1 First C D C B E D C Second A A E D D E A Third E E D A A…

Q: QUESTION 3 Solve the problem. Round to the nearest hundredth, if necessary. Assume that the mean…

A: Let , X = denotes the length of human pregnancies

Q: Assume that random guesses are made for 7 multiple-choice questions on a test with 2 choices for…

A: given data,n=7p=0.50q=1-p=1-0.50=0.50 data  follows the binomial distribution p(X=x)=nCx*px*qn-x…

Q: QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple:…

A: The expectation of a discrete random variable X, denoted by E(X), is defined as a measure of central…

Q: For the experiment described below, let x determine a random variable, and use your knowledge of…

A: Given information- We have given that a bag contains 4 green balls and 6 white balls. Total number…

Q: You are conducting a hypothesis test where the null hypothesis is that mu is less than or equal to…

A: using excel we find critical value

Q: Suppose the American Kennel Club estimates that 38% of households in U.S. have a Pembroke Welsh…

A: Given data: Given proportion: p = 0.38 Sample size = 400

Q: Let X be a random variable with pmf given in the following table. (Do NOT round 0 0.54 p(x) (a) Find…

A: Given X 0 1 2 P(X=x) 0.54 0.33 0.13

Q: 3. Let the probability density function of a continuous random variable X be defined f(x) = {x²/9…

A: Given that  Probability density functions of X is  f(x) = x2/9  , 0 &lt; X &lt; 3

Q: FRQ 11 THE TWELVE DAYS OF CHRISTMAS For each problem, show the proper work needed for FRQ’s and find…

A: (i) Given: On the first day of Christmas, my true love gave to me: A Partridge in a Pear Tree.  The…

Q: a. Use linear regression analysis to find the value of the slope and intercept of the equation that…

A: a. The independent variable is income, in thousand dollars (x) and the dependent variable is demand…

Q: ply this customer? 5 Verify that P(|X-μ|> ko) = 2[1-(k)] for any k > 0 if X is N(u,0²) distributed.…

A:

Q: Four hundred badminton enthusiasts burn an average of 250 calories playing for an hour with a…

A: Given data: Sample size (n) = 400 Sample mean = 250 Standard deviation = 36 calories Confidence…

Q: how to calculate.  P(X= 8) = 10C8*(0.70)8*(1-0.70)10-8 what is 10C8? where does the number come…

A: From the original problem, we have  p = 70% = 0.70 n = 10

Q: A screening test for a disease shows a positive result in 94% of all cases when the disease is…

A: Let A and B be two events with P(A) &gt; 0. Then the conditional probability of B given A, denoted…

Q: A lottery has a grand prize of $1,000,000, 4 runner-up prizes of $50,000 each, 14 third-place prizes…

A: Given: P(winning $1000000) = 1/13000000P(winning $50000) = 4/13000000P(winning $5000) =…

Q: Suppose you decide to model the number of multiple choice questions you get right as a binomial…

A: Assume a random variable X, defines that the number of questions answered correctly.

Q: Multiple R (to 4 decimals) R Square (to 4 decimals) Adjusted R Square (to 4 decimals) Standard Error…

A: Given:-

Q: Find the variance from the following sample. (Please round your answers to two decimal places, ex:…

A: Here we have given the data, Using this data we have to find the sample variance. Number of…

Q: An actuary studied the likelihood that different types of drivers have at least one collision during…

A: Given Type Percentage Collision % Teen 14 16 Young adult 24 9 Middle aged adult 48 6…

Q: between 12 and 24 years of age? (b) What is the probability he or she is between 25 and 64 years…

A: It is given that a survey of 3000 Americans aged 12 through 74 years, the following makeup of the…

Q: (a) Let Z be a discrete random variable taking one of the four distributions covered in Chapter 10.…

A: Given that Let Z be a discrete random variable taking one of the four distributions covered in…

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…

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: A fair six-sided dice is thrown. The probabilities of the following events have  been marked on the…

A: Given: A: No. less than 7 {1,2,3,4,5,6} B: A "6" is thrown {6} C: An odd number is thrown {1,3,5}

Q: The numbers of on-time flights and the number of delayed or cancelled flights for four major…

A: Here we have given the table that summarizes, The numbers of on-time flights and the number of…

Q: What is the expected number of heads that come up when a fair coin is flipped five times?

A: From the provided information, A coin is flipped five times that is n = 5

Q: The table shows relative frequencies for red-green color blindness in one doctor's practice. M…

A: The table shows the relative frequencies for red-green color blindness in one doctor’s practice.

Q: B. A roulette wheel has the numbers 0, 00, and 1 through 36 arranged randomly across its 38 slots…

A: It is given that  Total slots = 38  Odd-numbered slots = 1, 3, 5,.......,35, then   Number of…

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

A: Note: As per the Bartelby guidelines only three sub-parts can be answered. Kindly resubmit the…

Q: You run a regression for x predicting y and find the p-value to be .04. Which of the following can…

A: From given data  a regression for x predicting y and find the p-value to be .04

Q: As a project manager you have the following data for your current project in a hospital.…

A: given data mean(μ) = 22 weeksvariance (σ2) = 4 weeks2standard deviation (σ) = 2 weeksP(x&lt;22…

Q: Let E and F are mutually exclusive and Pr(E) = 0.2 and Pr(F) = 0.6. Find Pr(E ∪ F).

A: Given :

Q: You intend to estimate a population proportion with a confidence interval. The data suggests that…

A: The given confidence level is 96.5%.