Sketch the histogram of z and explain the unusual shape

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Reference no: EM131810128

Question: Let X be the number of heads in 20 fair coin tosses, Y a number picked uniformly at random from {0, 1, . . . 20}, independently of X. Let Z = max(X, Y).

a) Find a formula for P(Z = k), k = 0, . . 20.

b) Without calculating out P(Z = k) exactly, sketch the histogram of Z, and explain its unusual shape.

Reference no: EM131810128

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