Two numbers are picked in succession from 1 to 4 (inclusive, with replacement). Let X denote the minimum of the numbers and Y the result of the first number minus the second.
(a) Give the joint probability mass function of X and Y.
(b) Give the marginal probability mass function of X, and
(c) find E(Y+2).

Question

Two numbers are picked in succession from 1 to 4 (inclusive, with replacement). Let X denote the minimum of the numbers and Y the result of the first number minus the second. 
(a) Give the joint probability mass function of X and Y. 
(b) Give the marginal probability mass function of X, and 
(c) find E(Y+2).

Quizplus · Accepted Answer

The Answer of Two numbers are picked in succession from 1 to 4 (inclusive, with replacement). Let X denote the minimum of the numbers and Y the result of the first number minus the second. 
(a) Give the joint probability mass function of X and Y. 
(b) Give the marginal probability mass function of X, and 
(c) find E(Y+2).

Two Numbers Are Picked in Succession from 1 to 4