Charter Southeast Airlines states that the flight between Fort Lauderdale, Florida, and Los Angeles takes 5 hours and 37 minutes. Assume that the actual flight times are uniformly distributed between 5 hours and 20 minutes and 5 hours and 50 minutes.
a. Determine the probability that the flight will be more than 10 minutes late.
b. Calculate the probability that the flight will be more than 5 minutes early.
c. Compute the average flight time between these two cities.
d. Determine the variance in the flight times between these two cities.