The time taken to carry out a standard service on a car of type A is known,

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The time taken to carry out a standard service on a car of type A is known, to a good approximation, to be a normal variable with mean 1 hour and standard deviation 10 minutes. Assuming that only one car is serviced at a time, find the probability that it will take more than 6.5 hours to service six cars. The time taken to carry out a standard service on a car of type B is a normal variable with mean 1.5 hours and standard deviation 15 minutes. Find the probability that five cars of type B can be serviced more quickly than eight cars of type A.

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