Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below. a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 80 beats per minute. b. If 25 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

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Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.

a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 80 beats per minute.

b. If 25 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 80 beats per minute.

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

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