Dominoz Airlines: Dominoz Pizza decides to expand into the airline industry. Knowing that peopie are tired of late flights, and in line with its Pizza delivery policy, they decide that when an airplane waits on the runway, the company will pay each customer a fee if the waiting time is more than 2 hours. Given that the wait time can be modelled by an exponential random variable X with aver age 1.25 hours. If the waiting time is more than 2 hours then each customer gets 100X – 200. (a) What 's the probability that X will be 2.5? (b) What is the CDF of X? (c) What's the probability that X <2 (d) are 50 passengers. What is the amount that the company expects to pay the customers on the plane given there

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Chapter1: Combinatorial Analysis
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8.
Dominoz Airlines: Dominoz Pizza decides to expand into the airline industry. Knowing that
peopie are tired of late flights, and in line with its Pizza delivery policy, they decide that when an airplane
waits on the runway", the company will pay each customer a fee if the waiting time is more than 2 hours.
Given that the wait time can be modelled by an exponential random variable X with aver age 1.25 hours.
If the waiting time is more than 2 hours then each customer gets 100X – 200.
(a)
What 's the probability that X will be 2.5?
(b)
What is the CDF of X?
(c)
What's the probability that X <2
(d)
What is the amount that the company expects to pay the customers on the plane given there
are 30 passengers.
Transcribed Image Text:8. Dominoz Airlines: Dominoz Pizza decides to expand into the airline industry. Knowing that peopie are tired of late flights, and in line with its Pizza delivery policy, they decide that when an airplane waits on the runway", the company will pay each customer a fee if the waiting time is more than 2 hours. Given that the wait time can be modelled by an exponential random variable X with aver age 1.25 hours. If the waiting time is more than 2 hours then each customer gets 100X – 200. (a) What 's the probability that X will be 2.5? (b) What is the CDF of X? (c) What's the probability that X <2 (d) What is the amount that the company expects to pay the customers on the plane given there are 30 passengers.
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