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Problem 15 Recall that Shaquille OíNealís lifetime free throw percentage is 0:527. Assume that free throw...

Problem 15 Recall that Shaquille OíNealís lifetime free throw percentage is 0:527. Assume that free throw attempts are independent of one another. A teams employs the "Hack-a-Shaq" strategy. In a three-game series, Shaq is fouled 43 times.

1. Find the mean and standard deviation for the number of made free throws by Shaq. 2. Compute the probability that Shaq makes at least 20 free throws. 3. Would it be unusual for Shaq to make at least 30 free throws? 4. What number of free throws must Shaq make in order to be more than three standard deviations above average?

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