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 (2x-1)/(x-1); x > 1, y > 1 fx.x (x, y): x²(x – 0; е. w. (i) Show that it is a joint probability density function; (ii) Find cumulative distribution function Fxy(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 (2x-1)/(x-1); x > 1, y > 1 fx.x (x, y): x²(x – 0; е. w. (i) Show that it is a joint probability density function; (ii) Find cumulative distribution function Fxy(x, y); (iii) Find the following probabilities (a) P(X > 1, Y > 1), (b) P(X > Y), (c) P(X + Y > 1)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...

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