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 1.5 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 dependent. 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 independent. (b) Compute the probability of at least one major earthquake in the next 22 years. Round ? to the nearest hundredth, and use a calculator. (Use 4 decimal places.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 1.5 times every 22 years.
(b) Compute the probability of at least one major earthquake in the next 22 years. Round ? 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 60 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 60 years. Round ? to the nearest hundredth, and use a calculator. (Use 4 decimal places.)
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