Question: 14. (8 points) The time to perform a knee replacement is normally distributed with a mean of 2.5 hours and standard deviation of 0.6 hours.

14. (8 points) The time to perform a knee replacement is normally distributed with a mean of 2.5 hours and standard deviation of 0.6 hours.

a. State the random variable.

b. 60 percent of knee replacements take less than what time?

c. What is the probability that a randomly selected knee replacement will take more than 3.0 hours?

d. What is the probability that a random sample of 9 knee replacements will have a mean replacement time of more than 3.0 hours?

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