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Problem 2. The life of a certain type of engine is normally distributed with a mean of 10 years, and a standard deviation of 1.5

Problem 2. The life of a certain type of engine is normally distributed with a mean of 10 years, and a standard deviation of 1.5 years.

(2A). If one engine is randomly selected, what is the probability that the life of this engine is between 8 and 13 years?

a.Find the z-score, and construct the standard normal distribution density curve, then shade your seeking area.

b.Find the probability.

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