MathCastle
StatisticsSuperchallengeRandom Variables

Random Variables · Superchallenge problem

Ann’s time for a run is normal with mean 6060 min and SD 55 min; Ben’s is normal with mean 66.566.5 min and SD 1212 min, independently. They race twice (all times independent). What is the probability Ben beats Ann (finishes faster) in at least one of the two races? Give your answer to the nearest hundredth.