Question: Problem # 1 ( 18 pts). From 1975 through 2016 the mean gain of the Dow Jones Industrial Average was 546. Assume that the population

Problem # 1 ( 18 pts).From 1975 through 2016 the mean gain of the Dow Jones Industrial Average was 546. Assume that the population standard deviation is 1215. If a random sample of 32 years is selected from the population,

a) What is the probability that the mean gain for the sample was between 200 and 500?

b) What is the probability that the mean gain for the sample was greater than 575?

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