Question

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds.

Answer 1

Answer:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(200,50)$  

Where $\mu=200$ and $\sigma=50$

We want to find the following probability:

$P(170$

And we can use the z score formula given by:

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

And using this formula we got:

$P(170$

And we can find this probability with this difference:

$P(-0.6$