Assume that women's heights are normally distributed with a mean given by μ = 64.5 in, and a standard deviation given by a = 2.7 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) If 44 women are randomly selected, find the probability that they have a mean height less than 65 in. (a) The probability is approximately (Round to four decimal places as needed.) ***

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Find the probability of a and b)
K
Assume that women's heights are normally distributed with a mean given by μ = 64.5 in, and a standard deviation given by o = 2.7 in.
(a) If 1 woman is randomly selected, find the probability that her height is less than 65 in.
(b) If 44 women are randomly selected, find the probability that they have a mean height less than 65 in.
cx
View an example Ask my instructor
2
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(a) The probability is approximately
(Round to four decimal places as needed.)
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Transcribed Image Text:K Assume that women's heights are normally distributed with a mean given by μ = 64.5 in, and a standard deviation given by o = 2.7 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) If 44 women are randomly selected, find the probability that they have a mean height less than 65 in. cx View an example Ask my instructor 2 W 5 (a) The probability is approximately (Round to four decimal places as needed.) x 3 F2 3 E D 80 F3 C $ 4 FA R a F V % 5 $ FS T G 1 6 B MacBook Air FO Y I' H & 7 N 44 F7 U N (...) √₁ V ** * 00 8 J DII 1 M ( 9 (1) K 4 F9 More O ) O < F10 L 0 Clear all P command FIL s
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