A fair die is rolled twice. Let X and Y be the smallest and largest, respectively,...

A fair die is rolled twice. Let X and Y be the smallest and largest, respectively, number that appears in the two rolls.

(a) Determine the probability mass function of (X, Y). (Write a formula forP(X=i, Y=j)or give a table of values.)

(b) Are X and Y independent?

(c) Find E(X+Y). (Give your answer as a decimal number.)

Expert Solution

orchestra answered 2 years ago

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