Homework Help is Here – Start Your Trial Now!
Math
Probability
There are two food carts serving food at a local park. At any given time, Let A denote the number of customers in line at Food Cart A, and let B denote the number of customers in line at Food Cart B. The joint PMF of A and B is as given in the following table. B 0 1 2 3 A 009 005 0.03

There are two food carts serving food at a local park. At any given time, Let A denote the number of customers in line at Food Cart A, and let B denote the number of customers in line at Food Cart B. The joint PMF of A and B is as given in the following table. B 0 1 2 3 A 009 005 0.03

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
See similar textbooks
icon
Related questions
Question
1. There are two food carts serving food at a local park. At any given time, Let A denote the number of customers in line at Food Cart A, and let B denote the number of customers in line at Food Cart B. The joint PMF of A and B is as given in the following table. B 1 2 3 A 0.09 0.05 0.03 0.01 0.01 0.05 0.04 0.08 0.06 0.1 0.07 3 0.03 0.01 0.1 4. 0.01 0.15 0.05 0.06 a. What is P(A = B), that is, the probability that the numbers of customers in the two lines are identical? b. What is the probability that the total number of customers in the two lines is exactly four? At least four? c. Determine the marginal PMF of A and B and then calculate the expected number of customers in line at Food Cart B. d. If at a given time there are 3 customers in line at Food cart A, what is the probability of 2 customers being in line at Food Cart B? e. Are A and B independent random variables? Explain.
Transcribed Image Text:1. There are two food carts serving food at a local park. At any given time, Let A denote the number of customers in line at Food Cart A, and let B denote the number of customers in line at Food Cart B. The joint PMF of A and B is as given in the following table. B 1 2 3 A 0.09 0.05 0.03 0.01 0.01 0.05 0.04 0.08 0.06 0.1 0.07 3 0.03 0.01 0.1 4. 0.01 0.15 0.05 0.06 a. What is P(A = B), that is, the probability that the numbers of customers in the two lines are identical? b. What is the probability that the total number of customers in the two lines is exactly four? At least four? c. Determine the marginal PMF of A and B and then calculate the expected number of customers in line at Food Cart B. d. If at a given time there are 3 customers in line at Food cart A, what is the probability of 2 customers being in line at Food Cart B? e. Are A and B independent random variables? Explain.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS