SOLUTION: During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn arrive at a rate of 5 per minute. It has been determined that the num

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Question 980415: During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn arrive at a rate of 5 per minute. It has been determined that the number of calls per minute can be described by the Poisson distribution. Find the probability that in the next minute, the number of calls arriving will be:
(a) Exactly 5
(b) Exactly 4
(c) Exactly 3
(d) Exactly 6
(e) Less than 2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P(5) with Poisson parameter 5. It is e^(-lambda) *Lambda^5 (or whatever number x is)/x!
exp(-5)*5^5/5!=0.1755 This is the expected value. Also, the variance is 5 as well.
exp(-5)5^4/4!=0.1755
exp(-5)5^3/3!=0.1404
exp(-5)5^6/6!=0.1462
That is 1 and 0
exp(-5)*5=0.0337 + exp(-5)=0.0067 and that sum is 0.0404.
!=1 0!=1