Requests for service in a queuing model follow a Poisson distribution with a mean of five per

Question:

Requests for service in a queuing model follow a Poisson distribution with a mean of five per unit time.

(a) What is the probability that the time until the first request is less than 4 minutes?

(b) What is the probability that the time between the second and third requests is greater than 7.5 time units?

(d) If the service times are independent and exponentially distributed with a mean of 0.4 time units, what can you conclude about the long-term response of this system to requests?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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