The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation

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answerhappygod
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The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation

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The overhead reach distances of adult females are normallydistributed with a mean of
197.5 cm
and a standard deviation of
8 cm.
a. Find the probability that an individual distance is greaterthan
207.50
cm.
b. Find the probability that the mean for
20
randomly selected distances is greater than 196.00 cm.
c. Why can the normal distribution be used in part​ (b),even though the sample size does not exceed​ 30?
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