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a. The heights of NBA players are normally distributed, with an average height of 6'7" (i.e....

a. The heights of NBA players are normally distributed, with an average height of 6'7" (i.e. 79 inches), and a standard deviation of 3.5". You take a random sample of 8 players, and calculate their average height. What is the probability that this sample average is less than 78 inches?

b. Birth weights are distributed normally, with a mean of 3.39kg and a standard deviation of 0.55kg. Round your answer to three decimal places, e.g. 0.765. What is the probability that a randomly selected sample of 40 newborns will have an average weight of less than 3.45 kg?

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