The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.9 times every seven hours. The shopping center is open from 10 A.M. to 9 RM. (11 hours). Let r 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. 0 Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are dependent. 0 Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent. 0 Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent. 0 Frequency of shoplifting is a common occurrence. It is reasonable to assume the events are independent. What is A? (Round your answer to three decimal places.) H (b) What is the probability that from 10 A.M. to 9 PM. there will be at least one shoplifting incident caught by security? (Round your answer to four decimal places.) H (c) What is the probability that from 10 A.M. to 9 RM. there will be at least three shoplifting incidents caught by security? (Round your answer to four decimal places.) H (d) What is the probability that from 10 A.M. to 9 PM. there will be no shoplifting incidents caught by security? (Round your answer to four decimal places.) H