Answer:
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
