2. The occurrence of floods may be modeled by a Poisson process. If the mean occurrence rate of floods for a certain region A is once in every 8 years; a) Determine the probability that there will be no flood next year? b) Determine the probability of at least one flood in a 5-year period. e) Determine the probability that at most 2 floods will occur in a 5-year period.
2. The occurrence of floods may be modeled by a Poisson process. If the mean occurrence rate of floods for a certain region A is once in every 8 years; a) Determine the probability that there will be no flood next year? b) Determine the probability of at least one flood in a 5-year period. e) Determine the probability that at most 2 floods will occur in a 5-year period.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Transcribed Image Text:2. The occurrence of floods may be modeled by a Poisson process. If the mean occurrence rate of floods for a certain
region A is once in every 8 years;
a) Detemine the probability that there will be no flood next year?
b) Determine the probability of at least one flood in a 5-year period.
c) Determine the probability that at most 2 floods will occur in a 5-year period.
d) A structure is located in the region A. The probability that it will be imundated, when a flood occurs, is 0.05.
Assuming statistical independence between floods, determine the probability that the structure will survive
over the 5-year period.
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