During the period of time phone-in reservations are being taken at a local university, calls come in at a rate of one every ten minutes.
a. What is the expected number of calls in one hour?
b. What is the probability of 4 calls in 5 minutes?
c. What is the probability of 5 calls in a ten minute period?© BrainMass Inc. brainmass.com June 3, 2020, 10:50 pm ad1c9bdddf
a. Let X denotes the number of calls in one hour. Since it is given that calls come in at a rate of one every ten minutes, the rate of the number of calls in one hour is 60*(1/10) =6. Thus X follows a Poisson distribution with parameter Lamda= 6.
For a Poisson distribution we have, the ...
The solution explain how Poisson distribution can be applied in a practical situation.