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Students in Alice’s course have lap times that have an approximately normal distributionwith mean 76 seconds...

Students in Alice’s course have lap times that have an approximately normal distributionwith mean 76 seconds and standard deviation of 4 seconds. Students in Bob’s coursehave lap times that have an approximately normal distribution with mean 74 secondsand standard deviation of 3 seconds. Assume lap times for all students are independent of one another. (a) Approximate the probability that the mean lap time in Alice’s class of size 36 students exceeds 77. (b) Compute the probability that a random student in Alice’s course has ahigher lap time than that of a random student in Bob’s course.

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