MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 2.1 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. O Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are dependent. O Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are independent. O Frequency of earthquakes is a common occurrence. It is reasonable to assume the events are dependent. O Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are independent. (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 1 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 40 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 40 years. Round 1 to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Need Help? Read it Watch it 9. [-/0.27 Points] DETAILS BBUNDERSTAT12 5.4.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Honolulu Advertiser states that in Honolulu there was an average of 756 burglaries per 100,000 households in a given year. In the Kohola Drive neighborhood there are 291 homes. Let r = number of these homes that will be burglarized in a year. (a) Explain why the Poisson approximation to the binomial would be a good choice for the random variable r. O The Poisson approximation is good because n is small, p is small, and np 10. What is n? What is p? What is a to the nearest tenth? (Round your p to five decimal places.) n = p = 2 = (b) What is the probability that there will be no burglaries this year in the Kohola Drive neighborhood? (Round your answer to four decimal places.) (c) What is the probability that there will be no more than one burglary in the Kohola Drive neighborhood? (Round your answer to four decimal places.) . (d) What is the probability that there will be two or more burglaries in the Kohola Drive neighborhood? (Round your answer to four decimal places.)
