Mathematics, 06.04.2021 02:50 yasarhan2

Flip a biased coin twice. Assume that P[Head] = p. Denote "1" as head, and "0" as tail. Let X be the maximum of the two numbers, and let Y be the minimum of the two numbers. (a) Find and sketch the joint PMF pX, Y (x, y). (b) Find the marginal PMF pX(x) and pY (y). (c) Find the conditional PMF PX|Y (x | y). Caution: The setting of this problem is different from Video 7 Problem 1. There we have two persons throwing a coin 2 times per person (so totally 4 times). Here we throw the coin 2 times only.

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Flip a biased coin twice. Assume that P[Head] = p. Denote "1" as head, and "0" as tail. Let X be the...