Question

Heart Rates For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the variable is normally distributed and the standarddeviation is 2 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use a graphing calculator.Round the answers to four decimal places.Less than 78 beats per minute,P (x<78) =

Answer 1

So,

For this problem, we need to remember the following equation that we'll use:

$z=\frac{x-\mu}{\sigma}$

Where x is the value we're going to analyze, μ is the mean and o is the standard deviation.

Given that we want to find P(x<78), we could write:

$\begin{gathered} P(XIf we use the z-score table, we obtain the value of P(z<2):[tex]P(z<2)=0.97725$

So,