please show working ad formula so i can try others Assume that women\'s heights

Question

please show working ad formula so i can try others

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height between 62.5 inches and 64.0 inches.

2)The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 275 days? please show working

Explanation / Answer

mean = 63.6 inch ; Std deviation = 2.5 inches

mu = (x - mean)/Std. deviation =

z1 = ( 62.5 - 63.6)/2.5 = -0.44

z2 = ( 64 - 63.6)/2.5 = 0.16

Use the standard normal table to conclude that:

P( z1< z<z2) = 0.2336

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