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Calls are distributed according to Poisson process at an average rate of 12 calls per hour. Calls are usually handled at the basic sales level, but if there is a more complicated case, the manager will need to be involved. The probability that an incoming call will require a manager is 0.5 and it is independent of the other calls. What is the probability to receive at least one call in 10 minutes time?

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P(at least one call)= 1 - P(no calls for manager) = 1 - ((0.5 x 0.2)^0 x e^(0.5x0.2)/0!) = 1 - 0.367879441 = 0.632121

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