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Calls for dial-in connections to a computer center arrive
Chapter 4, Problem 172SE(choose chapter or problem)
Problem 172SE
Calls for dial-in connections to a computer center arrive at an average rate of four per minute. The calls follow a Poisson distribution. If a call arrives at the beginning of a one-minute interval, what is the probability that a second call will not arrive in the next 20 seconds?
Questions & Answers
QUESTION:
Problem 172SE
Calls for dial-in connections to a computer center arrive at an average rate of four per minute. The calls follow a Poisson distribution. If a call arrives at the beginning of a one-minute interval, what is the probability that a second call will not arrive in the next 20 seconds?
ANSWER:
Answer:
Step 1 of 1:
Calls for dial-in connections to a computer center arrive at an average rate of 4 per minute. The calls follow a Poisson distribution. a call arrives at the beginning of a one-minute interval.
We need to find the probability that a second call will not arrive in the next 20 seconds.
Let be the time between the arrival of calls in minutes.
We know that if any call events are occurring in time according to a Poisson distribution with mean then the waiting time between the arrival of calls has an Exponential distribution with mean
We have given,