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) Find the pmf of X. (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 n one of each other suit).) (Round your answers to five decimal places.) 4. p(x) |0.00198 0.14592 0.58836 0.26374 (b) Compute µ, o², and o. (Round your answers to three decimal places.) H = 3.114 - 0.406 O - 0.637

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