When someone buys a ticket for an airline flight, there is a 0.0982 probability

Question

When someone buys a ticket for an airline flight, there is a 0.0982 probability that the person will not show up for the flight. A certain jet can seat 15 passengers. Is it wise to book 17 passengers for a flight on the jet? Explain. Determine whether or not booking 17 passengers for 15 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.) O A. t is not a wise decision because the probability that there are not enough seats on the jet is So, overbooking is an unlikely event. O B. It is a wise decision because the probability that there are not enough seats on the jet is So, overbooking is an unlikely event. O C. 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 D. t is a wise decision because the probability that there are not enough seats on the jet is .So, overbooking is not an unlikely event.

Explanation / Answer

Solution:- n = 17 , p = 0.0982

The probability that 2 of the 17 do not show up is,

P(x = 2) = 17C2(0.0982)^2*(0.9018)^115 = binompdf(17,0.0982,2) = 0.2782

option A. It is not a wise decision because the probability that there are not enough seats on the jet is 0.2782 . So, overbooking is not an unlikely

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