Question 2 Assume that a human pregnancy has a population mean of 280 days and a population standard deviation of 8 days. Determine the following probabilities: (a) The probability that one randomly chosen pregnant woman exceeds 284 days before giving birth. (b) We take a random sample of n = 5 pregnant women. Find the probability that the mean number of days for this group of 5 women exceeds 284 days. (c) Compare your answers for parts a) and b). Why are they different?

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