Q. 5 Once a fire is reported to a fire insurance company, the company makes an initial estimate, X, of the amount it will pay to the claimant for the fire loss. When the claim is finally settled, the company pays an amount, Y, to the claimant. The company has determined that X and Y have the joint probability density function 2 fxx(x, y) x2(x – 1)(2x-1)/(x-1); x> 1,y > 1 | 0; e.w. (i) Show that it is a joint probability density function; (ii) Find cumulative distribution function Fx,y (x,y); (iii) Find the following probabilities (a) P(X > 1, Y > 1), (b) P(X >Y), (c) P(X +Y > 1)

Q. 5 Once a fire is reported to a fire insurance company, the company makes an initial estimate, X, of the amount it will pay to the claimant for the fire loss. When the claim is finally settled, the company pays an amount, Y, to the claimant. The company has determined that X and Y have the joint probability density function 2 fxx(x, y) x2(x – 1)(2x-1)/(x-1); x> 1,y > 1 | 0; e.w. (i) Show that it is a joint probability density function; (ii) Find cumulative distribution function Fx,y (x,y); (iii) Find the following probabilities (a) P(X > 1, Y > 1), (b) P(X >Y), (c) P(X +Y > 1)

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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