Tom works for a fruit company and found that the weights of pineapples are normally distributed with mean = 500 grams and standard deviation = 100…

Tom works for a fruit company and found that the weights of pineapples are normally distributed with mean = 500 grams and standard deviation = 100 grams.

a. If he randomly chooses 16 pineapples and measures their weights, what is the probability that the average weight x̄ is more than 475 grams?

b. for a random sample of 16 pineapples, find the probability that the sample standard deviation s will exceed 129 grams.

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