Normal Distribution Probability 2

For the next two questions assume that X = Length of Pregnancy has a normal distribution with a mean of μ_X = 268 days and a standard deviation of σ_X = 15 days.

a) What is the probability that a single woman will have a pregnancy that is less

than 260 days? What is the Prob( X_i < 260 ) ?

b) What is the probability that the average length of pregnancy in a group of n=25

women will be less than 260 days? What is the Prob(x̄ < 260)

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