(3) Suppose the number of earthquakes occurring in an area approximately follows a Poisson distribution with an average rate of 2 earthquakes every year. Show your work when solving the following problems. (a) Find the probability that there will be 1 to 3 (inclusive) earthquakes during the next year in this area. (b) Find the probability that there will be exactly 5 earthquakes during the next 3-yearperiod. (c) Consider 10 randomly selected years during last century. What is the probability that there will be at least 3 of those years with no earthquake?

(3) Suppose the number of earthquakes occurring in an area approximately follows a Poisson distribution with an average rate of 2 earthquakes every year. Show your work when solving the following problems. (a) Find the probability that there will be 1 to 3 (inclusive) earthquakes during the next year in this area. (b) Find the probability that there will be exactly 5 earthquakes during the next 3-yearperiod. (c) Consider 10 randomly selected years during last century. What is the probability that there will be at least 3 of those years with no earthquake?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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