compute v(x) for the probability distribution found in Exercise compute v(x) for

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compute v(x) for the probability distribution found in Exercise compute v(x) for the probability distribution found in Exercise compute v(x) for the probability distribution found in Exercise compute v(x) for the probability distribution found in Exercise compute v(x) for the probability distribution found in Exercise 2. A box contains 8 computer chips. Three of them are defective. Suppose 5 are randomly chosen without replacement from the box. Compute the probability that 2 of the 5 are defective. Answer are defective assuming the chips are selected with replacement. Answer . Compute the probability that 2 of the S

Explanation / Answer

2) P(2 are defective) = 3C2 * 5C3/8C5 = 0.5357 (without replacement)

V(x) = n * k * (N - k) * (N - n)/[N^2(N - 1)]

       = 5 * 3 * (8 - 3) * (8 - 5)/(8^2 * 7) = 0.502

p = 3/8

P(X = 2) = 5C2 * (3/8)^2 * (1 - 3/8)^3 = 0.343

V(x) = n * p * (1 - p) = 5 * 3/8 * 5/8 = 1.17

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