Assume that females have pulse rates that are normally distributed with a mean of 74 bpm and a standard deviation of 12.5 bpm16 adult females are randomly selected find the probability that they have pulse rates with a mean less than 80 bpm

The probability is 0.68439
Explanation:The Probability is obtained as follows:
[tex]\begin{gathered} \sigma=\text{standard deviation = 12.5} \\ \mu=\operatorname{mean}=74 \\ x=\text{sample} \end{gathered}[/tex][tex]\begin{gathered} p(x<80)=p(z<\frac{x-u}{\sigma}) \\ \\ =p(z<\frac{80-74}{12.5}) \\ \\ =p(z<\frac{6}{12.5}) \\ \\ =p(z<0.48) \\ \\ =0.68439 \end{gathered}[/tex]