2. The occurrence of floods may be modeled by a Poisson process. If the mean occurrence rate of floods for a certainregion 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 surviveover the 5-year period.

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Description: 2. The occurrence of floods may be modeled by a Poisson process. If the mean occurrence rate of floods for a certainregion A is once in every 8 years;a) Detemine the probability that there will be no flood next year?b) Determine the probability of a

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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.

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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