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Suppose that we know that, in a population, spells of unemployment are normally distributed with a mean of 144 days and a standard deviation of 12...

Suppose that we know that, in a population, spells of unemployment are normally distributed with a mean of 144 days and a standard deviation of 12 days.

(a) What is the probability that a spell lasts more than 150 days?

(b) Researchers collect a random sample of 4 unemployment spells. What is the probability that the average spell lasts more than 150 days?

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