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It is estimated that 70% of motorists on a certain stretch of highway exceed the speed limit. A highway patrolman with a radar device randomly selects 15 motorists on this part of the highway and checks their speed. What is the probability that at least 13 are caught speeding?
Correct Answer: B
We use the binomial distribution with n = 15 and pai = 0.7 to get P(X>= 13) = p(13) + p(14) + p(15) = 0.092 + 0.031 + 0.005 = 0.128.