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Problem 4 Grade point averages at a particular school follow a normal distribution with = 2:89...

Problem 4 Grade point averages at a particular school follow a normal distribution with = 2:89 and = 0:63.

i. Find the probability that the average GPA for a sample of 5 students is greater than 3.0.

ii. Find the probability that the average GPA for a sample of 10 students is between 2.0 and 2.75.

iii. Find the probability that Nathanís GPA is between 2.0 and 2.75.

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