The arrivals of new telephone calls at a telephone, Basic Statistics

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The arrivals of new telephone calls at a telephone

The arrivals of new telephone calls at a telephone switching office is a Poisson process N(t) with an arrival rate of λ = 4 calls per second. An experiment consists of monitoring the switching office and recording N(t) over a 10-second interval.

(a) What is P_N(1)(0), the probability of no phone calls in the first second of observation?

(b) What is P_N(1)(4), the probability of exactly four calls arriving in the first second of observation?

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Basic Statistics: The arrivals of new telephone calls at a telephone

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