One card is selected at random from each of 40 packs. Each pack contains 52 cards and

Question:

One card is selected at random from each of 40 packs. Each pack contains 52 cards and includes 13 clubs. Let C be the number of clubs selected from the 40 packs.

a. Show that the variance of C is 7.5.

b. Obtain an approximation for the value of P(C ≤ 8), and justify the use of this approximation.

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Ayman Salloum

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