# How to transform this word problem into a binomial distribution equation

#### 6021023

1. The problem statement, all variables and given/known data
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently

a) What is the probability that every passenger who shows up can take the flight?
b) What is the probability that the flight departs with empty seats?

2. Relevant equations

f(x) = n nCr x p^x(1 - p)^n-x

3. The attempt at a solution

a) 125 nCr 120 (0.9)^120*(0.1)^5

b) 125 nCr 0 (0.9)^0 * (0.1)^125

#### rosh300

let n be the number of passengers and p be the probability they wont turn up.
(a)find prob less than or equal to 5 dont turn up
(b)similar thing as (a)

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