In a Prince Market Research Survey of 2518 motorists, 252 said they made an obsc

Question

In a Prince Market Research Survey of 2518 motorists, 252 said they made an obscene gesture in the previous month. a. If 2 of the surveyed motoris ts are randomly selected with replacement , what is the probability that each of them made an obscene gesture? b. If 2 of the surveyed motorists are randomly selected with out replacement , what is the probability that each of them made an obscene gesture? c. If 2 of the surveyed motorists are randomly selected with replacement , what is the probability that each of them did not make an obscene gesture? d. If 2 of the surveyed motorists are randomly selected with out replacement , what is the probability that each of t hem did not make an obscene gesture?

Explanation / Answer

a) P(both obscene gesture ) = (252/2518)*(251/2517) = 0.00998

b) P(both obscene gesture ) = (252/2518)*(252/2518) = 0.01002

c) P(both not obscene gesture ) = (2266/2518)*(2265/2517) = 0.80982

d)  P(both not obscene gesture ) = (2266/2518)*(2266/2518) = 0.80986

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