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1. The heights of basketball players are normally distributed, with a mean of 78 inches, with a standard deviation of 3 inches.
i. What is the probability that a randomly chosen basketball player will be taller than 77 inches?
ii. Suppose we take a sample of 16 basketball players. Can we find the probability that the average height of this sample is larger than 77 inches? If we can, then find it. Otherwise, explain why it cannot be found.
iii. Did you use the CLT to do the previous problem? Explain.
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