Question

According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7500.

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Answer #1

Given,

Mean = 41750

Standard deviation = 7500

A) To find P(X <= 40000)

We can find out this probability using the z table or technology.

Let's use excel for finding the probability.

Use the following excel command.

= NORM.DIST(X, mean, standard deviation, 1)

= NORM.DIST(40000, 41750, 7500, 1)

We will get, P(X <= 40000) = 0.4078

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