Question

AsK YGur Tcaer BBUnderStat12 5.4.020. Previous Answers 0.71/3.57 points 15. USA Today reported that Parkfiekd, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault Since 1857, Parkfield hs had a major ethe on the age of 2 times every 22 years (a) Explain why a Poisson probability distribution would be a goo choice for r-number of earthquakes in a given time interval 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 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 A to the nearest hundredth, and use a cakculator. (Use 4 decimal places) (c) Compute the probability that there will be no major earthquake in the next 22 years. Round A 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 54 years. Round & to the nearest hundredth, and use a calculator (Use 4 decimal places) (e) Compute the probability of no major earthquakes in the next 54 years. Round A to the nearest hundredth, and use a calculator (Use 4 decimal places)

Answer 1

soluton Fequency earthquake are independent aasonable the events assume to ot majo Interual glveh time earthvuaKes in a or o2 --- Gfven avg in 22 yeas P (2- e8 O2 -. in next 2yesns) earth qua lee major P (a1leas One - PCR0) PIRE) .8892O 22 yea major eaxth uQrH in b) p (athee no p(R-o)e P(R-o)0080 P (atleast major eartnjuar in neit 5ayeas) one 54 Aב avg 2.4-S -2.4S PCR p(R-0) 1- e (2.45)

(there in s4 yeors) no major earth aua te -2-45 2-45) pIR-o) e O.o& 629 PCR-0) o.086 99