8. A representative from the National Football League\'s Marketing Division rand

Question

8. A representative from the National Football League's Marketing Division randomly selects people on a random street in Foxborough, Massachusetts until he finds a person who attended the last home football game. Let p, the probability that he succeeds in finding such a person, equal 0.30. And, let X denote the number of people he selects until he finds his first success. In this geometric probability distribution, what is the probability that the marketing representative must select 6 people before he finds one who attended the last home football game?

Explanation / Answer

P(X = x) = (1-p)x-1 * p

p = 0.3

P(X = 6) = (1 - p)5 * p = 0.75 * 0.30= 0.0504

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