A fair coin is tossed three times. Let X denote 0 or 1 according as a head or a tail occurs on the first toss, and let Y denote the number of heads which occur.Determine (i) the distributions of X and Y, (ii) the joint distribution h of X and Y, (iii) Cov(X, Y).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A fair coin is tossed three times. Let X denote 0 or 1 according as a head or a tail occurs on the first toss, and let Y denote the number of heads which occur.Determine (i) the distributions of X and Y, (ii) the joint distribution h of X and Y, (iii) Cov(X, Y).

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