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# Statistics: Probability and Binomial Distribution

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An airline has classified its customers as high-volume travelers (assumed to be business travelers) and low-volume travelers (assumed to be leisure travelers). Eighty five percent are high volume travelers. If five people are randomly selected from a list of customers, What is the probability none are high-volume travelers?

https://brainmass.com/statistics/probability/statistics-probability-binomial-distribution-598952

## SOLUTION This solution is FREE courtesy of BrainMass!

Let X be number of high volume travelers, from given information, X has a binomial distribution with n=5 and p=0.85

Using the formula of binomial distribution,

P(none are high-volume travelers) = P(X=0) = C(5,0) * (0.85)^0 * (0.15)^5 = 0.0000759375

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