When someone buys a ticket for an airline flight, there is a 0.0973 probability

Question

When someone buys a ticket for an airline flight, there is a 0.0973 probability that the person will not show up for the flight. A certain jet can seat 8 passengers. Is it wise to book 10 passengers for a flight on the jet? Explain. Determina whother or not booking t0 passengers for 8 seats on the jet is a wise decision. Selet the coret chaice below and Sl in the ansi that choce with probability that there are not enough seats on the jet. Round to four decimal places as needed.) O A. Itis a wise decision because the probability that there are not enough seats on the jet is So, overtbooking is not 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 an unlkely event OC. It is not a wise decision because the probability that there are not onough seats on the tis Soove booking is not an unlikely oot 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

Result:

Binomial distribution used.

Probability of not show up = 0.0973

Probability of show up = 1- 0.0973 =0.9027

n=10, p=0.9027

we need to find P( x > 8) = P( x=9)+P( x=10)

=(0.387261+0.359281)

=0.7465

Option C: It is not a wise decision because the probability that there are not enough seats on the ject is 0.7465. so overbooking is not an unlikely event.

Binomial Probabilities Table

X

P(X)

9

0.387261

10

0.359281

Binomial Probabilities Table

X

P(X)

9

0.387261

10

0.359281

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