#16 Law Enforcement: Shoplifting 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...

Extracted text: #16 Law Enforcement: Shoplifting 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 10 A.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 2? (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? (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? (d) What is the probability that from 10 A.M. to 9 P.M. there will be at least no shoplifting incidents caught by security?