Question

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.

Given that exactly one call arrived in 0 < t ≤ 15, calculate the conditional probability that at least one call will arrive in 15 < t ≤ 20.

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