SOLUTION: The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.2 times every three hours. The shopping center is open from 1

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Question 1028021: The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.2 times every three hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.



What is λ? (Use 2 decimal places.)


(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Use 4 decimal places.)


(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Use 4 decimal places.)


(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Use 4 decimal places.)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(a) λ = %281.2%2F3%29%2A11+=+4.4
(b) Poisson pmf: p%28x%29+=+%28%28lambda%29%5Ex%2F%28x%21%29%29%2Ae%5E%28-lambda%29
==> p%28X+%3E=1%29+=+1-p%28X=0%29+=+1-%28%284.4%29%5E0%2F%280%21%29%29%2Ae%5E%28-4.4%29+=+0.9877
(c)
(d) p%28X=0%29+=+e%5E%28-4.4%29=+0.0123