A fair six-sided die is rolled 30 independent times. Let X be the number of ones and Y

Chapter 4, Problem 4.3-8

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QUESTION:

A fair six-sided die is rolled 30 independent times. Let X be the number of ones and Y the number of twos. (a) What is the joint pmf of X and Y? (b) Find the conditional pmf of X, given Y = y. (c) Compute E(X2 4XY + 3Y2).

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QUESTION:

A fair six-sided die is rolled 30 independent times. Let X be the number of ones and Y the number of twos. (a) What is the joint pmf of X and Y? (b) Find the conditional pmf of X, given Y = y. (c) Compute E(X2 4XY + 3Y2).

ANSWER:

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A fair six-sided die is rolled 30 independent times. Let X be the number of ones and Y the number of twos.

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