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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).

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).

MATLAB: An Introduction with Applications
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) = cxy for x = 1, 2, 3 and 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 ≤ 1 otherwise Determine (a) the constant c. (b) P(X<Y > ). (c) P < X < ). (d) P(Y < ), (e) whether X and Y are independent. Let X and Y be continuous random variables having joint density function [c(x² + y²) to 0 f(x, y) = S.S. 0≤x≤ 1,0 ≤ y ≤ 1 otherwise By dx dy Determine (a) the constant c. (b) P(X<Y > ¹). (c) P ( < X < ³), (d) P(Y < ¹), (e) whether X and Y are independent. dix dy C CX
Transcribed Image Text:The joint probability function of two discrete random variables X and X is given by f(x, y) = cxy for x = 1, 2, 3 and 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 ≤ 1 otherwise Determine (a) the constant c. (b) P(X<Y > ). (c) P < X < ). (d) P(Y < ), (e) whether X and Y are independent. Let X and Y be continuous random variables having joint density function [c(x² + y²) to 0 f(x, y) = S.S. 0≤x≤ 1,0 ≤ y ≤ 1 otherwise By dx dy Determine (a) the constant c. (b) P(X<Y > ¹). (c) P ( < X < ³), (d) P(Y < ¹), (e) whether X and Y are independent. dix dy C CX
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