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-year- period. (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?

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-year- period. (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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 2E

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