Probability & Statistics

ANOTHER The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.3 times every four 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. a) Explain why the Poisson probability distribution would be a good choice for the random variable r. O Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are independent. O Frequency of shoplifting is a rare occurrence. It is reasonable to assume the events are dependent. O Frequency of shoplifting is a common 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 1? (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.) Need Help? Read It Watch It 5. [-/1.5 Points] DETAILS BBUNDERSTAT12 5.4.013.MI MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 12:08 55.F O 10/4/202 Mostly sunny hp . . ..' . .. . . . . . .' . .. . . .. . . . ' 10 4+ P 144 "Sort sc delete home % 5 & 7 8 9 backspace