Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation ofσ=12.5 beats per minute. Complete parts​ (a) through​ (c) below. A)...

Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation ofσ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.

1. A) If 1 adult female is randomly​ selected, find the probability that her pulse rate is between

71 beats per minute and 79 beats per minute. The probability is

1. B) If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 71 beats per minute and 79 beats per minute. The probability is

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