Question: The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 10 minutes and maximum time of

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 10 minutes and maximum time of 22 minutes.

a. Calculate the value of f(x).

b. What are the mean and standard deviation for this distribution?

c. What is the probability that the employee’s next commute to work will require less than 12.5 minutes?

d. What is the probability that the employee’s next commute to work will require more than 14.5 minutes?

e. What is the probability that the employee’s next commute to work will require between 11 and 20 minutes?

f. What commute time represents the 40th percentile of this distribution?

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