The heights of all female students in a university are normally distributed with a mean of 156 cm and a standard deviation of 4 cm. Find the probability that a randomly selected female student has a height higher than 165 cm. (a) (b) 20% of the female students have height lower than h cm. Find the value of h in two decimal places.

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Chapter1: Combinatorial Analysis
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The heights of all female students in a university are normally distributed with a mean
of 156 cm and a standard deviation of 4 cm.
(а)
Find the probability that a randomly selected female student has a height
higher than 165 cm.
(b)
20% of the female students have height lower than h cm. Find the value of h
in two decimal places.
Transcribed Image Text:The heights of all female students in a university are normally distributed with a mean of 156 cm and a standard deviation of 4 cm. (а) Find the probability that a randomly selected female student has a height higher than 165 cm. (b) 20% of the female students have height lower than h cm. Find the value of h in two decimal places.
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