1. (b) A reinsurance company works on a premium policy for natural disasters. Based onexperience, it is known that W = "number of natural disasters from October to March"(winter) is Poisson distributed with Aw = 4. Similarly, the random variable S = "numberof natural disasters from April to September" (summer) is Poisson distributed with As = 3.i. Determine the probability that there is at least 1 disaster during both summer andwinter based on the assumption that the two random variables are independent.ii. Given that there was total 10 disasters in a year, what is the probability that 4 of themwere in the summer season?

1. (b) A reinsurance company works on a premium policy for natural disasters. Based on experience, it is known that W = "number of natural disasters from October to March" (winter) is Poisson distributed with Aw = 4. Similarly, the random variable S = "number of natural disasters from April to September" (summer) is Poisson distributed with A5 = 3. i. Determine the probability that there is at least 1 disaster during both summer and winter based on the assumption that the two random variables are independent. ii. Given that there was total 10 disasters in a year, what is the probability that 4 of them were in the summer season?

1. (b) A reinsurance company works on a premium policy for natural disasters. Based on experience, it is known that W = "number of natural disasters from October to March" (winter) is Poisson distributed with Aw = 4. Similarly, the random variable S = "number of natural disasters from April to September" (summer) is Poisson distributed with A5 = 3. i. Determine the probability that there is at least 1 disaster during both summer and winter based on the assumption that the two random variables are independent. ii. Given that there was total 10 disasters in a year, what is the probability that 4 of them were in the summer season?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. (b) A reinsurance company works on a premium policy for natural disasters. Based on
experience, it is known that W = "number of natural disasters from October to March"
(winter) is Poisson distributed with Aw = 4. Similarly, the random variable S = "number
of natural disasters from April to September" (summer) is Poisson distributed with As = 3.
i. Determine the probability that there is at least 1 disaster during both summer and
winter based on the assumption that the two random variables are independent.
ii. Given that there was total 10 disasters in a year, what is the probability that 4 of them
were in the summer season?

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