Assume that women's heights are normally distributed with a mean given by mu equals 64.4 inμ=64.4 in, and a standard deviation given by sigma equals 3.1 inσ=3.1 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 6565 in. (b) If 3636 women are randomly selected, find the probability that they have a mean height less than 6565 in.
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In any case, If the mean height is 64.4 inches with a SD of 3.1 inches (1SD) the probability of identifying one woman with a height of les than 65.65 inches is 70%
The second part of this quiz is also reflect the same probability of 70% that in the sample of 3636 women the mean height is less than 65.65 inches. All the best!
