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

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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.
(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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Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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