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.

And we can find this probability with this difference:

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:

Where and

We want to find the following probability:

And we can use the z score formula given by:

And using this formula we got:

And we can find this probability with this difference:

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step-by-step explanation: