Question

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.

(b) Compute the probability of at least one major earthquake in the next 22 years. Round λ 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 λ 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 46 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.)

(e) Compute the probability of no major earthquakes in the next 46 years. Round λ to the nearest hundredth, and use a calculator. (Use 4 decimal places.)

Answer 1

Given that d. 2.1 for 2 years using poisson distai bustion P(x) (6) P(x ) = 1- P(x=0) -1- 2 2.(2.0) = 1-[o. 12246] = (0.8776) P(x:0) = 22.1 (2.100 P = (c) 0.12246 .: P(x=0) = 10.1225 (d) for 21 years = 2.1 1 year -0.0955 For 46 years = 46% 0.0955 = 4.39 P(x1) = 1 - P(x=0) = 1- 4.39 (4.39° = 1- (0.01240] - 0.9876) e) P(x=0) = 4.39 (4.39° 10.0124 ]