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The proportion of defective items in a large lot is p. Suppose a random sample of...

The proportion of defective items in a large lot is p. Suppose a random sample of n items is selected from the lot. Let X denote the number of defective items in the sample and let Ydenote the number of non-defective items

(a) Specify the distributions of X and Y , respectively. Are they independent?

(b) Find E(X −Y) and var(X −Y).

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