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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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What is the probability that the sensory memory will last for at most 200 milliseconds? Find the median time the sensory memory will last
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Find a 90% confidence interval for the true mean wash cycle time. Write a Solution Trail for this problem.- Interpret the confidence interval found in part (a).
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