Let X denote the reaction time, in seconds, to a certain stimulus and Y denote thetemperature (°F) at which a certain reaction starts to take place. Suppose that tworandom variables X and Y have the joint density(x² + 2,0 < x < 1,0 < y < 2,f(x, y) =elsewhere. e. Find the conditional density f(xly).f. Find the conditional density f(x).g. Find P(Y> 1 | X = 12).h. Find P(X> | Y = 1)i. Determine if the random variables are statistically independent.

Given that We have to find a..f(x/y) b..f(y/x) c..P(Y>1/X=1/2)

Answered: e. Find the conditional density f(xly).…

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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e. Find the conditional density f(xly). f. Find the conditional density f(ylx). g. Find P(Y> 1 | X= ½). h. Find P(X>½/2 | Y = 1) i. Determine if the random variables are statistically independent.