The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.6 times every five hours. The shopping center is open from 10 AM, TO 9 P. M. (11 hours), Letr be the number of shoplifting
incidents caught by security in an 11-hour period during which the center is open.
(a) Explain why the Poisson probability distribution would be a good choice for the random variable r.
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent.
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent
Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent
Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent.
What is ? (Round your answer to three 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? (Round your answer to four 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? (Round your answer to four 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?
(Round your answer to four decimal places.)