Solution Found!
Select an (even) integer randomly from the set {0, 2, 4,
Chapter 4, Problem 4E(choose chapter or problem)
PROBLEM 4E
Select an (even) integer randomly from the set {0, 2, 4, 6, 8}. Then select an integer randomly from the set {0, 1, 2, 3, 4}. Let X equal the integer that is selected from the first set and let Y equal the sum of the two integers.
(a) Show the joint pmf of X and Y on the space of X and Y.
(b) Compute the marginal pmfs.
(c) Are X and Y independent?Why or why not?
Questions & Answers
QUESTION:
PROBLEM 4E
Select an (even) integer randomly from the set {0, 2, 4, 6, 8}. Then select an integer randomly from the set {0, 1, 2, 3, 4}. Let X equal the integer that is selected from the first set and let Y equal the sum of the two integers.
(a) Show the joint pmf of X and Y on the space of X and Y.
(b) Compute the marginal pmfs.
(c) Are X and Y independent?Why or why not?
ANSWER:
Answer:
Step 1 of 4:
Let X = An integer randomly selected from the set { 0,2,4,6,8}.
Y = The sum of the two integers set {x + 1, x+2, x+3, x+4, x+5},
where, x = 0,2,4,6,8. Hence = {1,2,3,4,5}.