# The average salary for a Queen College full professor is \$85,900. If the average salaries are normally distributed with a standard deviation of \$11,000 find these probabilities:a.    The professor makes more than \$90,000b.    The professor makes more than \$75,000

Question

The average salary for a Queen College full professor is \$85,900. If the average salaries are normally distributed with a standard deviation of \$11,000 find these probabilities:

a.    The professor makes more than \$90,000

b.    The professor makes more than \$75,000

Step 1

It is given that mean and standard deviation are \$85,900 and \$11,000, respectively.

The random variable X represents salary for a Queen College full professor.

Step 2

a)

The probability that the professor makes more than \$90,000 is obtained as follows:

Step 3

The probability that the professor makes more than \$90,000 represents the area to the right of 0.37.

Here, the area to the left of 0.37 using standard n...

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