The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. the probability of a player weighing less than 250 pounds is closest to:

Using the normal distribution, it is found that there is a 0.9772 = 97.72% probability of a player weighing less than 250 pounds.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

In this problem:

The probability of a player weighing less than 250 pounds is the p-value of Z when X = 250, hence:

has a p-value of 0.9772.

0.9772 = 97.72% probability of a player weighing less than 250 pounds.

More can be learned about the normal distribution at link

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