Problem

After shuffling a deck of 52 cards, a dealer deals out 5. Let X = the number of suits re...

After shuffling a deck of 52 cards, a dealer deals out 5. Let X = the number of suits represented in the five-card hand.

a. Show that the pmf of X is

[Hint: p(1) = 4P( all are spades),p(2) =6P( only spades and hearts with at least one of each suit), and p(4) = 4P(2 spades ∩ one of each other suit).

b.Compute μ, σ2 , and σ.

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