Question
The PolyU plans to enter a two-person team in a relay race to raise money for charity. The relay consists of two 15K segments, run
The PolyU plans to enter a two-person team in a relay race to raise money for charity. The relay consists of two 15K segments, run consecutively, and each run by a different person. George will run the first segment and Jean will run the second. Times for both runners are normally distributed as follows: George with mean 70 minutes and standard deviation 15 minutes; Jean with mean 65 minutes and standard deviation 10 minutes. Assume that their times are independent.
Assuming that the "time to beat" (competitor team from another school) is 120 minutes, what is the probability the PolyU team wins?
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