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# After shuffling a deck of 52 cards, a dealer deals out 5. ISBN: 9780321629111 32

## Solution for problem 95E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 95E

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.?? how that the pmf of ?X i? s [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 ?, ?2 , and ?.

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Step 1 of 3

Answer: Step1: After shuffling a deck of 52 cards, a dealer deals out 5. Where, n = 52, x = 5. Let x = the number of suits represented in the five - card hand. Total number of hands is N = c = 2598960. 5 Step2: a). Given, x 1 2 3 4 p(x) 0.002 0.146 0.588 0.264 The pmf of ‘x’ is P(X = x) = Step3: 2 b). To compute , ,...

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Step 3 of 3

##### ISBN: 9780321629111

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