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A common practice of airline companies is to sell more tickets for a particular flight than...

A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, because customers who buy tickets do not always show up for the flight. Suppose that the percentage of​ no-shows at flight time is 2 ​%. For a particular flight with 247 ​seats, a total of 250 tickets were sold. What is the probability that the airline overbooked this​ flight?

The probability is ___ ​(Round to four decimal places as​ needed.)

Math   Statistics-And-Probability   
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Answer #1

Well, this is a question of the binomial distribution. Let X be the number of people who show up for the flight.

Then X ~ Binomial(250,1-0.02)

i.e. X ~ Binomial(250,0.98)

We need to find the probability:

P(Flight is overbooked)

=P(X>247)

=P(X>=248)

Hence the answer is:

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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