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Question: Suppose the true weight of a standard weight is 10 grams. It is weighed twice independently. Suppose that the first measurement is a normal random variable X with E(X) = 10 g and SD(X) = 0.2 g, and that the second measurement is a normal random variable Y with E(Y) = 10 g and SD(Y) =0.2 g.

a) Compute the probability that the second measurement is closer to 10 g than the first measurement.

b) Compute the probability that the second measurement is smaller than the first, but not by more than 0.2 g.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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