Patient arrivals at a hospital emergency department follows a Poisson distribution and the waiting time for…

Patient arrivals at a hospital emergency department follows a
Poisson distribution and the waiting time for service follows an
exponential distribution with a mean of 2.75 hours. Determine the
following: (a) Probability that the waiting time exceeds four hours
(b) Value for waiting time (in hours) exceeded with probability
0.35.

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