assume that females have pulse rates that are normally distributed with a mean of $mu = 72.0$ beats per…

assume that females have pulse rates that are normally distributed with a mean of $mu = 72.0$ beats per minute and a standard deviation of $sigma = 12.5$ beats per minute. complete parts (a) through (c) below.\na. if 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.\nthe probability is \n(round to four decimal places as needed.)

assume that females have pulse rates that are normally distributed with a mean of $mu = 72.0$ beats per minute and a standard deviation of $sigma = 12.5$ beats per minute. complete parts (a) through (c) below.\na. if 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.\nthe probability is \n(round to four decimal places as needed.)

Answer

Explanation:

Step1: Calculate the z - score

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x = 76$, $\mu=72$, and $\sigma = 12.5$. $z=\frac{76 - 72}{12.5}=\frac{4}{12.5}=0.32$

Step2: Find the probability from the standard normal distribution table

We want to find $P(X<76)$, which is equivalent to $P(Z < 0.32)$ in the standard - normal distribution. Looking up the value of $0.32$ in the standard normal distribution table, we get $P(Z < 0.32)=0.6255$.

Answer:

$0.6255$