Draw a random sample of the ipods

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Question: A distributor receives a new shipment of 20 iPods. He draws a random sample of five iPods and thoroughly inspects the click wheel of each of them. Suppose that the shipment contains three iPods with a malfunctioning click wheel. Let X denote the number of iPods with a defective click wheel in the sample of five.

(a) The random variable X is (choose one)

(i) binomial

(ii) hypergeometric

(iii) negative binomial

(iv) Poisson.

(b) Give the sample space and the formula for the PMF of X.

(c) Compute P(X = 1).

(d) Find the expected value and variance of X.

Reference no: EM131769159

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