In Exercise 5.8, we derived the fact that4yıy2, 0< yı < 1,0 < y2 < 1,f (yı, y2) =0,elsewhereis a valid joint probability density function. Finda the marginal density functions for Y1 and Y2.b P(Y, < 1/2|Y2 > 3/4).c the conditional density function of Y1 given Y2 = y2.d the conditional density function of Y2 given Y1 = yı.e P(Y¡ <3/4[Y2 = 1/2).

Answered: Image /qna-images/answer/6465a7b4-3455-4239-be52-1733aa7f7210.jpg

Answered: Exercise 5.8, we derived the fact that…

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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An insurance company provides customers with both auto and home insurance policies. For a particular customer, Χ is the deduction on his or her auto policy and Y is the deduction on the home policy. Possible values of Χ are K100 and K250, and for Y are K0, K100 and K200. The joint probability density function for (Χ,Y ) is given by the following table: X Y K100 K250 K0 0.20 0.05 K100 0.10 0.15 K200 0.20 0.30 Find the probability for a randomly selected policy holder having a K100 deduction on the auto insurance and a K200 deduction on the home insurance. Find the probability that a randomly selected policy holder has a home deduction of at least K100. Are the random variables Χ and Y independent? Explain your answer. If we look only at those insurance customers selecting the lowest auto mobile insurance deduction (K100), what is the probability that a randomly selected…

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