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?
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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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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