Problem Regarding Exponential Distribution

iamlks

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The waiting time between calls at a call center is modeled as an exponential distribution. The mean number of calls per day is 600. The call center is open all the time.

(a) Determine the median of the waiting time.
(b) What is the probability that, as at any particular time of the day, the total waiting time until the third call is between 10 minutes and 20 minutes?
 
The waiting time between calls at a call center is modeled as an exponential distribution. The mean number of calls per day is 600. The call center is open all the time.

(a) Determine the median of the waiting time.
(b) What is the probability that, as at any particular time of the day, the total waiting time until the third call is between 10 minutes and 20 minutes?
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