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I found the answer of 0.1587 via Course Hero for the following but I'm not sure I understand the how/why? Can you assist? Suppose that

I found the answer of 0.1587 via Course Hero for the following but I'm not sure I understand the how/why? Can you assist?

Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the standard deviation for the weekly earnings for such employees is $50. A sample of 100 such employees is selected at random.

Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimal places

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