The joint probability function of two discrete random variables X and X is given by f(x, y) = cxy for x = 1, 2, 3and y = 1, 2, 3, and equals zero otherwise. Find (a) the constant c, (b) PCX = 2, Y = 3), (c) P(1 ≤X ≤ 2, Y ≤ 2),(d) P(X22), (e) P(Y < 2). (f) P(X = 1), (g) P(Y = 3).Let X and Y be continuous random variables having joint density function[c(x² + y²)10**0≤x≤ 1,0 ≤ y ≤ 1otherwiseDetermine (a) the constant c. (b) P(X ). (c) P < X < ). (d) P(Y < ), (e) whether X and Y areindependent.Let X and Y be continuous random variables having joint density function[c(x² + y²)to0f(x, y) =S.S.0≤x≤ 1,0 ≤ y ≤ 1otherwiseBy dx dyDetermine (a) the constant c. (b) P(X ¹). (c) P ( < X < ³), (d) P(Y < ¹), (e) whether X and Y areindependent.dix dyCCX

Here AS per guidelines I have calculated first main question with 3 subparts.

Answered: The joint probability function of two…

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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The joint probability function of two discrete random variables X and X is given by f(x, y) = cry for x = 1.2.3 and y= 1, 2, 3, and equals zero otherwise. Find (a) the constant c. (b) P(X= 2.Y= 3). (c) P(1 ≤X ≤ 2. Y≤ 2). (d) P(X2), (e) P(<2). (f) P(X= 1). (g) P(Y = 3).