Delta airlines quotes a flight time of 2 hours, 5 minutes for its flights from cincinnati totampa. suppose we believe that actual flight times are uniformly distributed between2 hours and 2 hours, 20 minutes. a. show the graph of the probability density function for flight time. b. what is the probability that the flight will be no more than 5 minutes late? c. what is the probability that the flight will be more than 10 minutes late? d. what is the expected flight time?

a) The graph of the probability density function for flight time is shown below.

b) 1/2

c) 0

d) 130 minutes

Step-by-step explanation:

Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by

for t in [120, 140]

a) The graph of the probability density function for flight time is shown below.

Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.

b) The probability that the flight will be no more than 5 minutes late is given by

c) The probability that the flight will be more than 10 minutes late is given by

because the probability density function is zero for t outside of [120, 140]

d) The expected flight time is given by minutes