Charter Southeast Airlines states 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. (Hint: Take this question a minute a time (okay, its a slightly cryptic hint!))

1. Determine the probability that the flight will be more than 10 minutes late.

2. Calculate the probability that the flight will be more than 5 minutes early.

3. Compute the average flight time between these two cities.

4. Determine the variance in the flight times between these two cities.