Question: 11: Suppose that an airline quotes a flight time of 2 hours and 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities X is uniformly distributed between two hours and 2 hours and 20 minutes. Letting the time unit be one minute.

(a) Write the formula for the probability curve of X

(b) Graph the probability curve of X

(c) Find \(\Pr \left( 125\le X\le 135 \right)\)

(d) Find the probability that a randomly selected flight between the two cities will be at least five minutes late