Alvin shops for probability books for K hours, where K is a random variable that is equally
Question:
Alvin shops for probability books for K hours, where K is a random variable that is equally likely to be 1, 2, 3, .., 5. The number of books N that he buys is random and depends on how long he shops according to the conditional PMF
p N|K (n|k)=1/k, for n = 1, . . . , k.
Find the joint PMF of K and N:
p N,K (n=4,k=7)=
p N,K (n=5,k=8)=
Find the marjinal PMF of N:
p N (n=1)=
p N (n=2)=
Find the conditional PMF of K given that N=4.
p K|N (k=2|4)=
p K|N (k=6|4)=
Find the conditional mean and variance of K, given that he bought at least 2 but no more than 3 books.
Conditional mean:
Conditional variance:
The cost of each book is a random variable with mean $23. What is the expected value of his total expenditure?
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna