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# Question 9 12 pts Each year about 1500 students take the Introductory statistics course at a large university. This year scores on the final

## Question 9 12 pts Each year about 1500 students take the Introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the final) but a few students scored below 20 points. (a) What is the probability that the average score for a random sample of 46 students is above 75? P(xbar > 75)= (please round to four decimal places). (b) What is the probability that the average score for a random sample of 46 students is below 67? P(xbar

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