Question: The Denver Post reported that, on average, a large shopping center has had an incident of shoplifting caught by security once every 3 hours. The

The Denver Post reported that, on average, a large shopping center has had an incident of shoplifting caught by security once every 3 hours. The shopping center is open from 10A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in the 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. What is λ ?

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

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

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

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