When someone buys a ticket for an airline flight, there is a 0.0962 probability
ID: 3127774 • Letter: W
Question
When someone buys a ticket for an airline flight, there is a 0.0962 probability that the person will not show up for the flight. A certain jet can seat 18 passengers. Is at wise to book 20 passengers for a flight for a flight on the jet? Explain determine whether or not booking 20 passengers for 18 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. It is not a wise decision because the probability that there are not seats on the jet is, So, overbooking is an unlikely event. It is not a wise decision because the probability that there are not seats on the jet is, So, overbooking is not an unlikely event It is a wise decision because the probability that there are not seats on the jet is, So, overbooking is not an unlikely event It is a wise decision because the probability that there are not seats on the jet is, So, overbooking is an unlikely event.Explanation / Answer
Here, the probability that a passenger shows up is 1-0.0982 = 0.9018.
We need more than 18 passengers to overload.
Note that P(more than x) = 1 - P(at most x).
Using a cumulative binomial distribution table or technology, matching
n = number of trials = 20
p = the probability of a success = 0.9018
x = our critical value of successes = 18
Then the cumulative probability of P(at most x) from a table/technology is
P(at most 18 ) = 0.597894265
Thus, the probability of at least 19 successes is
P(more than 18 ) = 0.402105735
Hence
OPTION B: It is not a wise decision becasue the probability that there are not enough seats on the jet is [0.4021]. So, overbooking is NOT AN UNLIKELY EVENT. [ANSWER]
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