SOLUTION: A business has several telephone lines. Incoming calls have a Poisson distribution. They come in at the rate of 1 every 75 minutes during daytime hours. What is the probability, ov

Question 473883: A business has several telephone lines. Incoming calls have a Poisson distribution. They come in at the rate of 1 every 75 minutes during daytime hours. What is the probability, over the course of four daytime hours that the business receives:
(a) no calls
(b) exactly four calls
(c) exactly three calls: Show the Poisson formula and the substitution
__________________________________________________________________________
(d) at most five calls
(e) at least three calls
(f) between 3 and 7 calls, inclusive
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
I will answer only the first three. I know you'll get the idea for the remaining ones...

(a)
(b)
(c)

RELATED QUESTIONS
During the registration period, St. Mary’s Univeristy has a technician in its service... (answered by ewatrrr)

During the registration period, St. Mary’s Univeristy has a technician in its service... (answered by CPhill)

During normal business hours on the east coast, calls to the toll-free reservation number (answered by Boreal)

Help please! Thank you in advance... The number of calls that start every minute in a... (answered by ewatrrr)

A sales firm receives , on average 3 calls per hour on its toll free number. Let x... (answered by CPhill)

Hi there, this is the first question I asked (which was answered) (1). Jack and Jill... (answered by mathmate)

(1). Jack and Jill work in the school office. They are recording and analysing the number (answered by mathmate)

Certain emergency calls come to a telephone switchboard at an average rate (answered by richwmiller)

Certain emergency calls come to a telephone switchboard at an average... (answered by richwmiller)