The probability that a person who booked a flight will actually show up is 0.95. If...

The probability that a person who booked a flight will actually show up is 0.95. If the airline books 104 people on a flight for which the maximum capacity is 100, what is the probability that there will be enough seats for everyone who shows up? Round your answer to 3 decimal places.

Solutions

Expert Solution

Let X measure the number of passengers , out of 104 passengers who show up for a flight. Given that the probability of a person who actually show up is 0.95 ; Hence X is a binomial random variable with parameters as n=104, p=0.95;

Enough seat will be there for everyone who shows up when

Hence the probability that there will be enough seats for everyone who shows up is

Now,

Hence the required probability is 0.769(approximated to 3 decimal places)

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orchestra answered 1 year ago

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