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a small airline runs commuter flights with a plane that holds 10 people. each ticket-holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight. which is an appropriate plan for a simulation that uses a table of random digits to estimate the probability that exactly ten people show up for the flight?



Answer :

The probability that exactly 10 people will show up is 0.230

Let X measure the number of people (out of 12) who show up for a flight. For each passenger

we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.

(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)

∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]

P(10) = 0.230

So , the probability that exactly 10 people show up for the flight is 0.230 .

learn more about binomial probability here :

https://brainly.com/question/14214595

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