Question: 3. The time [in minutes] between consecutive calls at a call centre can be modelled by an exponential distribution. a] if it is known that

3. The time [in minutes] between consecutive calls at a call centre can be modelled by an exponential distribution. a] if it is known that the probability of consecutive calls coming within a minute of each other is equal to twice the probability of more than 2 minutes between calls, calculate ll [HINT: multiply your nal equation by e\" and then solve for in] b] Wh at is the average number of minutes between consecutive calls+ c] What is the probability that more than 3 minutes elapse between calls [leave your answer as a fraction]

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