U Links The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 1.8 times every five 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 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 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 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.) 15. [-/3.57 Points] DETAILS BBUNDERSTAT12 5.4.020. MY NOTES ASK YOUR TEACHER USA Today reported that Parkfield, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault. Since 1857, Parkfield has had a major earthquake on the average of 1.1 times every 22 years. (a) Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time Interval. Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are independent. Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are independent. Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are dependent. Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are dependent. (b) Compute the probability of at least one major earthquake in the next 22 years. Round 1 to the nearest hundredth, and use a calculator. (Use 4 decimal places.) (c) Compute the probability that there will be no major earthquake in the next 22 years. Round & to the nearest hundredth, and use a calculator. (Use 4 decimal places.) (d) Compute the probability of at least one major earthquake in the next 43 years. Round 1 to the nearest hundredth, and use a calculator. (Use 4 decimal places.) (e) Compute the probability of no major earthquakes in the next 43 years. Round 1 to the nearest hundredth, and use a calculator. (Use 4 decimal places.)
