When someone buys a ticket for an airline flight, there is a 0.0981 probability

Question

When someone buys a ticket for an airline flight, there is a 0.0981 probability that the person will not show up for the flight. A certain jet can seat 16 passengers. Is it wise to book 18 passengers for a flight on the jet? Explain.

Determine whether or not booking

18 passengers for 16 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 jet is

nothing. So, overbooking is an unlikely event.

B. It is not a wise decision because the probability that there are not enough seats on the jet is nothing. So, overbooking is not an unlikely event.

C. It is a wise decision because the probability that there are not enough seats on the jet in nothing. So, overbooking is an unlikely event.

D. It is a wise decision because the probability that there are not enough seats on the jet is nothing. So, overbooking is not an unlikely event.

Explanation / Answer

The probability that 2 of the 18 do not show up is,
----------------
P(x = 2) = 18C2 * (0.0981)^2 * (0.9019)^16 = 0.28

So there is a 28% chance that 2 people will not show up.

Or there is a 72% chance that they will show up.

B option

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