SOLUTION: It has been reported that 4% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of five random automobiles are measured via radar, what is the pr

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Question 1151804: It has been reported that 4% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of five random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.

The probability that the speed of NO ONE of 5 random cars is more than 70 mph is


    P = %281-0.04%29%5E5 = 0.096%5E5 = 0.815373.


The probability that at least one of 5 randomly selected care has the speed more than 70 mph is the COMPLEMENT to it


    P' = 1 - P = 1 - 0.815373 = 0.184627.     ANSWER