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The ABC Running Team plans to compete in a two-member team in a relay race to raise money for charity. The relay race consists of

The ABC Running Team plans to compete in a two-member team in a relay race to raise money for charity. The relay race consists of two 1,500 segments that run in succession, each segment being 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: -- Paul = mean 70 minutes and standard deviation 15 minutes -- Cliff = mean 65 minutes and standard deviation 10 minutes Assume that their times are independent. (a) Assuming that the "time to beat" (competitor team from another running team) is 120 minutes, what is the probability the ABC Running Team wins?

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