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Assume that the number of telephone calls arriving at a switchboard by time t (minutes) is...

Assume that the number of telephone calls arriving at a switchboard by time t (minutes) is described by Poison process {N(t)}. On average, one call comes in every 10 minutes.

Calculate the probability that no calls will occur between 0 < t ≤10 and that exactly one call will occur in 10 < t ≤ 15.

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