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Telephone calls enter a college switchboard at a mean rate of 2/3 call per minute according to Poisson process. Let X denote the waiting time until...

Telephone calls enter a college switchboard at a mean rate of 2/3 call per minute according to Poisson process. Let X denote the waiting time until the tenth call arrives.

A) what is the p.d.f. of X?

B) what are the moment-generating function, mean and variance of X?

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