5.3.38-T Question Help * When someone buys a ticket for an airline flight, there

Question

5.3.38-T Question Help * When someone buys a ticket for an airline flight, there is a 0.0979 probability that the person will not show up for the flight. A certain jet can seat 21 passengers. Is it wise to book 23 passengers for a flight on the jet? Explain Determine whether or not booking 23 passengers for 21 seats on the jet is a wise decision. Select the correct choice below and fill in the answer box in that choice with the probability that there are not enough seats on the jet (Round to four decimal places as needed) A. it is not a wise decision because the probability that there are not enough seats on the ts So, overbooking is an unlikely event. O B. It is not a wise decision because the probability that there are not enough seats on the jet is So, overbooking is not an unlikely event O C. It is a wise decision because the probability that there are not enough seats on the jet is So, overbooking is not an unlikely event O D. It is a wise decision because the probability that there are not enough seats on the jet is So, overbooking is an unlikely event

Explanation / Answer

Prob(person doesn't show up for flight) = 0.0979
Prob(person does show up for flight) = 0.9021

Prob(overbooking)
= Prob(22 or 22 passengers show up)
= Prob(22 passengers show up) + Prob(23 passengers show up)
= C(23,22) (0.9021)^22 (0.0979) + C(23,23) (0.9021)^23
=0.2334+ 0.0935
=0.3269

So probability of overbooking is almost 32.69%, which is quite likely
D.It is not a wise decision because the probability that there are not enough seats on the jet is 32.69%. So, overbooking is not an unlikely

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