Example 6 RD Airlines flies planes that seat 58 passengers. Years of erperience

Question

Example 6 RD Airlines flies planes that seat 58 passengers. Years of erperience have revealed that 20 percent of the persons who purchase tickets fail to claim their seat. (Such persons are called "no-shows".) Because of this pheno, RD routinely overbooks its lights, i.e. RD typically sells more than 58 tickets per flight. If more than 58 passengers show, then the "extra" passengers are "bumped to another flight. Suppose that RD sells 64 tickets for a certain flight from Washington to New York. What is the probability that at least one passenger uill have to be bumped?

Explanation / Answer

a)

X = number of passenger hwo show up

X follow binomial distribution with n = 64 , p = 1 -0.20 = 0.8

P(X >= 59)

= 0.00673

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