The time per week for which university professors work is 52 hours with a standard deviation of 6 hours.

If three professors are randomly selected the probability that all three work for more than 60 hours has to be determined.

The z-score for the number of hours spent working being...

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The time per week for which university professors work is 52 hours with a standard deviation of 6 hours.

If three professors are randomly selected the probability that all three work for more than 60 hours has to be determined.

The z-score for the number of hours spent working being equal to 60 is (60 - 52)/6 = 1.33

The probability of the number of hours worked for being less than 60 that is obtained from a normal table using this z-score is 0.9082. The probability that the professors work more than 60 hours is 1 - 0.9082 = 0.0918

**There is a 9.18% probability that the professors chosen at random work for more than 60 hours.**