18. Shppose the bivariate randoth variable(X,Y)is uniformly distributed over the region Diside the triangle with vertices(−3,1),(7,0)and(5,3). Find (a) the joint pdf of(X,Y)(b) the mutginal pdis ofXandY. (c)Var(XY)Skip question 18. Suppose the bivariate random variable (X,Y) is uniformly distributed over the regionside the triangle with vertices (-3,1), (7,0) and (5,3). Find(a) the joint pdf of (X,Y)(b) the marginal pdfs of X and Y.(c) Var(XY)

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Answered: Shppose the bivariate randoth…

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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18. Shppose the bivariate randoth variable(X,Y)is uniformly distributed over the region Diside the triangle with vertices(−3,1),(7,0)and(5,3). Find (a) the joint pdf of(X,Y)(b) the mutginal pdis ofXandY. (c)Var(XY)

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18. Suppose the bivariate random variable (X,Y) is uniformly distributed over the region
side the triangle with vertices (-3,1), (7,0) and (5,3). Find
(a) the joint pdf of (X,Y)
(b) the marginal pdfs of X and Y.
(c) Var(XY)

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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