1. For a specific county, 10 floods have occurred in 50 years. For this problem, a “flood year” is any year where a flood occurs some time during the year. This can be modelled as a Poisson process. a) What is the probability that next year will be a flood year? b) What is the probability that there will be 10 floods in the next 50 years? c) What is the probability that there will be 1 flood in the next 10 years? d) Over a 50 year period, how many floods could be expected? e) Over a 50 year period, how many “flood years” could be expected?
1. For a specific county, 10 floods have occurred in 50 years. For this problem, a “flood year” is any year where a flood occurs some time during the year. This can be modelled as a Poisson process. a) What is the probability that next year will be a flood year? b) What is the probability that there will be 10 floods in the next 50 years? c) What is the probability that there will be 1 flood in the next 10 years? d) Over a 50 year period, how many floods could be expected? e) Over a 50 year period, how many “flood years” could be expected?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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1. For a specific county, 10 floods have occurred in 50 years. For this problem, a “flood year” is any year where a flood occurs some time during the year. This can be modelled as a Poisson process.
a) What is the probability that next year will be a flood year?
b) What is the probability that there will be 10 floods in the next 50 years?
c) What is the probability that there will be 1 flood in the next 10 years?
d) Over a 50 year period, how many floods could be expected?
e) Over a 50 year period, how many “flood years” could be expected?
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