Answer to Question #86790 in Statistics and Probability for Kasey Taylor- Mason

Question

Assume that females have pulse rates that are normally distributed with a mean of mu equals 76.0
beats per minute and a standard deviation of sigma equals 12.5
beats per minute. . If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 79 beats per minute.
The probability is ...

Answer 1

We are given that females have pulse rates that are normally distributed with a

$$\mu=76, \sigma=12.5.$$ $$z={{\overline{x}-\mu} \over {\sigma / \sqrt{n}}}$$ $$z={{79-76} \over {12.5 / \sqrt{1}}}=0.24$$

We have to find

$$P(\overline{x}<79)=P(z<0.24)=0.5948.$$

The probability is

$$P(\overline{x}<79)=0.5948$$