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N is the random variable for the number of accidents in a single year. Nfollows the distribution: Pr(N = n) = 0.9(0.1)“-1 , n = 1, 2,... X, is the random variable for the claim amount of the ith accident. X, follows the distribution: g(x) = 0.01 e 001x, x, > 0, i= 1, 2,... Let Uand V,,V,.. be independent random variables following the uniform distribution on (0, 1). You use the inverse transformation method with U to simulate Nand V, to simulate X, with small values of random numbers corresponding to small values of Nand X,. You are given the following random numbers for the first simulation: u V2 V3 V4 0.05 0.30 0.22 0.52 0.46 Calculate the total amount of claims during the year for the first simulation.

N is the random variable for the number of accidents in a single year. Nfollows the distribution: Pr(N = n) = 0.9(0.1)“-1 , n = 1, 2,... X, is the random variable for the claim amount of the ith accident. X, follows the distribution: g(x) = 0.01 e 001x, x, > 0, i= 1, 2,... Let Uand V,,V,.. be independent random variables following the uniform distribution on (0, 1). You use the inverse transformation method with U to simulate Nand V, to simulate X, with small values of random numbers corresponding to small values of Nand X,. You are given the following random numbers for the first simulation: u V2 V3 V4 0.05 0.30 0.22 0.52 0.46 Calculate the total amount of claims during the year for the first simulation.

MATLAB: An Introduction with Applications
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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Nis the random variable for the number of accidents in a single year. Nfollows the distribution: Pr(N= n) = 0.9(0.1)"-' n = 1, 2,... X, is the random variable for the claim amount of the ith accident. X, follows the distribution: g(x,) = 0.01 e 0.01x, x,>0, i= 1, 2,... Let Uand V,, V,... be independent random variables following the uniform distribution on (0, 1). You use the inverse transformation method with U to simulate Nand V, to simulate X, with small values of random numbers corresponding to small values of Nand X,. You are given the following random numbers for the first simulation: u V2 V3 V4 0.05 0.30 0.22 0.52 0.46 Calculate the total amount of claims during the year for the first simulation.
Transcribed Image Text:Nis the random variable for the number of accidents in a single year. Nfollows the distribution: Pr(N= n) = 0.9(0.1)"-' n = 1, 2,... X, is the random variable for the claim amount of the ith accident. X, follows the distribution: g(x,) = 0.01 e 0.01x, x,>0, i= 1, 2,... Let Uand V,, V,... be independent random variables following the uniform distribution on (0, 1). You use the inverse transformation method with U to simulate Nand V, to simulate X, with small values of random numbers corresponding to small values of Nand X,. You are given the following random numbers for the first simulation: u V2 V3 V4 0.05 0.30 0.22 0.52 0.46 Calculate the total amount of claims during the year for the first simulation.
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