Aircraft turnaround time is the time required to prepare an aircraft for its next flight after arriving at a terminal. Assume that Delta Airline’s 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 Delta Airlines aircraft will require less than 30 minutes to turnaround.

b) Determine the probability that the next Delta Airlines aircraft will require between 30 and 40 minutes to turnaround.

c) Determine the probability that the next Delta Airlines aircraft will require more than 40 minutes to turnaround.

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

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