SOLUTION: assume that womens heights are normally distributed with a mean given by 64.5 in and a standard deviaqtion given by 2.3 in. A) if 1 woman is randomly selected, find the probability

Question 912847: assume that womens heights are normally distributed with a mean given by 64.5 in and a standard deviaqtion given by 2.3 in. A) if 1 woman is randomly selected, find the probability that her height is less than 65 in. B) If 43 women are randomly selected, find the probability that they have a mean height less than 65 ina) the probability is approx____ (round 4 decimal places) b) the probability is approximately ___(round to 4 decimal places as needed. Show all work
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
A. z = .5/2.3, P(z < .2174) = .5861 0r 58.61%
B. z = .5/(2.3/sqrt(43), P( z < 1.4255)= .9230 0r 92.30%
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