Aircraft turnaround time is defined as the time required to prepare an aircraft for its next flight

Question:

Aircraft turnaround time is defined as the time required to prepare an aircraft for its next flight after arriving at a terminal. Assume that United Airlines’ turnaround time follows a uniform distribution with a minimum time of 24 minutes and a maximum time of 56 minutes.

a. Determine the probability that the next United Airlines aircraft will require less than 30 minutes to turn around.

b. Determine the probability that the next United Airlines aircraft will require between 30 and 40 minutes to turn around.

c. Determine the probability that the next United Airlines aircraft will require more than 40 minutes to turn around.

d. Calculate the mean and standard deviation for this distribution.

e. United Airlines wants aircraft turnaround times to be less than 50 minutes 90% of the time. Is this goal being achieved?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...