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A professional basketball team averages 80 points per game with a standard deviation of 10 points. Assume points per game follow the normal distribution. a.

A professional basketball team averages 80 points per game with a standard deviation of 10 points. Assume points per game follow the normal distribution.

a. What is the probability that the score of a randomly selected game is between 60 and 100 points?

b. What is the probability that the score of a randomly selected game is more than 100 points?

c. If there are 82 games in a regular season, in how many games will the team score more than 90 points?

d. What is the probability that the mean sample of 9 games is more than 85 points?

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