A quality control plan for an assembly line involves sampling n = 10 finished items per day and counting Y , the number of defectives. If p denotes the proba- bility of observing a defective, then Y has a binomial distribution, assuming that a large number of items are produced by the line. But p varies from day to day and is assumed to have a uniform distribution on the interval from 0 to 1/4. Find the expected value and variance of Y.

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