Suppose that earthquakes occur in the western portion of the United States in accor- dance with assumptions 1, 2, and 3, with à = 2 and with 1 week as the unit of time. (That is, earthquakes occur in accordance with the three assumptions at a rate of 2 per week.) (a) Find the probability that at least 3 earthquakes occur during the next 2 weeks. (b) Find the probability distribution of the time, starting from now, until the next earthquake.

Suppose that earthquakes occur in the western portion of the United States in accor- dance with assumptions 1, 2, and 3, with à = 2 and with 1 week as the unit of time. (That is, earthquakes occur in accordance with the three assumptions at a rate of 2 per week.) (a) Find the probability that at least 3 earthquakes occur during the next 2 weeks. (b) Find the probability distribution of the time, starting from now, until the next earthquake.

Name: Q2Suppose that earthquakes occur in the western portion of the United
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Description: Q2Suppose that earthquakes occur in the western portion of the United States in accor-dance with assumptions 1, 2, and 3, with à = 2 and with 1 week as the unit of time.(That is, earthquakes occur in accordance with the three assumptions at a rate o

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Concept explainers

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.

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Question

Q2
Suppose that earthquakes occur in the western portion of the United States in accor-
dance with assumptions 1, 2, and 3, with à = 2 and with 1 week as the unit of time.
(That is, earthquakes occur in accordance with the three assumptions at a rate of 2
per week.)
(a) Find the probability that at least 3 earthquakes occur during the next 2 weeks.
(b) Find the probability distribution of the time, starting from now, until the next
earthquake.

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