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Suppose that X is a normally distributed random variable with mean 10 and variance 25and we take a simple random sample of size 3 and defineW = 0.4X1 + 0.3X2 + 0.2X3.Find P(W > 12)

Suppose that we take a simple random sample of size n = 16 from a population with anormal distribution with mean µ and variance 10. Find the value c such thatPr(µ - c X µ ¯ + c) = 0.95

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