USA Today reported that Park field, California, is dubbed the world\'s earthquak
ID: 3223080 • Letter: U
Question
USA Today reported that Park field, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault. Since 1857, Park field has had a major earthquake on the average of 1.3 times every 22 years. 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 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 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 dependent. Compute the probability of at least one major earthquake in the next 22 years. Round lambda to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Compute the probability that there will be no major earthquake in the next 22 years. Round lambda to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Compute the probability of at least one major earthquake in the next 57 years. Round lambda to the nearest hundredth, and use a calculator. (Use 4 decimal places.) Compute the probability of no major earthquakes in the next 57 years. Round lambda to the nearest hundredth, and use a calculator. (Use 4 decimal places.)Explanation / Answer
a ans) c) freequency of earth quakes are rare occurance it is resonable to assume the events are independent
b ans ) we know the formulea
P[r] = e^- * ^r / r!
= 1 (in 22 years)
P[> = 1] = 1 - P[0]
= 1 - e^-1
=0 .6321
c ans) P[0] = e^-1
=0 .3679
d ans) = (50/22)*1 = 2.27 (in 50 years)
P[> = 1] = 1 - P[0]
= 1 - e^-2.27
= 0.8967
e ans) P[0] = e^-2.27
= 0.1033
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