2. Let X be the number of grinders sold by Snack Bar on a particular night. X has the following distribution: 0 1 2 3 Px (x) 0.1 0.2 0.3 0.25 0.15 4 Sixty percent of all students who buy a grinder also buy fries. Let Y be the number of grinder people who also got fries. (a) Find P(X = 4, Y = 2). (Hint: using conditional probabilities, this should be P(Y = 2| X = 4) · P(X = 4). For a fixed value of X, think of Y as a binomial random variable.) (b) Calculate P(X = Y). (c) Find the joint pmf of X and Y, and the marginal pmf of Y.

2. Let X be the number of grinders sold by Snack Bar on a particular night. X has the following distribution: 0 1 2 3 Px (x) 0.1 0.2 0.3 0.25 0.15 4 Sixty percent of all students who buy a grinder also buy fries. Let Y be the number of grinder people who also got fries. (a) Find P(X = 4, Y = 2). (Hint: using conditional probabilities, this should be P(Y = 2| X = 4) · P(X = 4). For a fixed value of X, think of Y as a binomial random variable.) (b) Calculate P(X = Y). (c) Find the joint pmf of X and Y, and the marginal pmf of Y.

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

Similar questions

What conclusion can you draw from a sales report that states that "sales this month were $14,000 more than four times the sales last month, which means that total sales for both months are $6,000 more than five times the sales last month"? Part 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Let x represent the sales from this month and y represent the sales from last month, both in dollars. A. The solution is: x= ___ , y=____ (Simplify your answer. Type an integer or a decimal.) B.There are infinitely many solutions. C. There is no solution. Part 2 What conclusion can now be drawn about the sales report? Consider the answer above. A. The sales for this month and last month are represented accurately by x and y in the answer above. B. The sales report is inaccurate or was made up by someone. C. There were no sales in either month. D. There are an infinite amount of possibilities for the…
Can you explain which properties and methods you used and why specifically they were used.
Exercise 24 Let A and B be 2 events : P(A) : 1 and P(B') 1 Can A and B be mutually exclusive? Why?
I'm having trouble understanding how to do this problem, could you please help
twenty two more than four times a number is equal to the dofference between 155 ans three times the number. whats the number
Jean typically takes 2 less hours than Donald to assemble a bicycle if each works alone. Jean and Donald worked together to assemble a bicycle for 1 hour, and then Donald finished the job without Jean after an additional 1 hour. How long would it have taken Donald to assemble the bicycle alone? Do not include the units in your answer.
Solve it correctly please.