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The overhead reach distances of adult females are normally distributed with a mean of 205 and...

The overhead reach distances of adult females are normally distributed with a mean of 205 and a standard deviation of .7.8

a. Find the probability that an individual distance is greater than 215cm.

b. Find the probability that the mean for 15 randomly selected distances is greater than 203.70

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

a. The probability is . 0999. ​(Round to four decimal places as​ needed.)

b. The probability is nothing. ​(Round to four decimal places as​ needed.)

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