7. Suppose that the joint p.d.f. of two random variables Xand Y is as follows:(4 – 2x – y) for x > 0, y > 0,f(x, y) =and 2x + y < 4,otherwise.Determine (a) the conditional p.d.f. of Y for every givenvalue of X, and (b) Pr(Y > 2|X = 0.5).

The joint pdf of X and Y is f(x,y)=3164-2x-yfor x>0, y>0 and 2x+y<40otherwise.

7. Suppose that the joint p.d.f. of two random variables X and Y is as follows: f(x, y) = (4 – 2x – y) for x > 0, y > 0, and 2x + y < 4, otherwise. Determine (a) the conditional p.d.f. of Y for every given value of X, and (b) Pr(Y > 2|X =0.5).

7. Suppose that the joint p.d.f. of two random variables X and Y is as follows: f(x, y) = (4 – 2x – y) for x > 0, y > 0, and 2x + y < 4, otherwise. Determine (a) the conditional p.d.f. of Y for every given value of X, and (b) Pr(Y > 2|X =0.5).

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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7. Suppose that the joint p.d.f. of two random variables X
and Y is as follows:
(4 – 2x – y) for x > 0, y > 0,
f(x, y) =
and 2x + y < 4,
otherwise.
Determine (a) the conditional p.d.f. of Y for every given
value of X, and (b) Pr(Y > 2|X = 0.5).

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