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Question 12. Let X, Y be two random variables and take values in {0,1} and whose joint distribution is given by: Joint Distribution Y = 0 Y=1 fx(x) X = 0 0.25 0.25 0.5 X = 1 0.25 0.25 0.5 fy(y) 0.5 0.5 1 Mark the choice that is FALSE: (a) E(X² + Y2) = E(X) + E(Y) (b) X and Y are statistically independent. (c) E(X²) = (E(X))² (d) var(X) = var(Y) (e) P(X = 1|Y = 1) = P(X = 1|Y = 0)

Question 12. Let X, Y be two random variables and take values in {0,1} and whose joint distribution is given by: Joint Distribution Y = 0 Y=1 fx(x) X = 0 0.25 0.25 0.5 X = 1 0.25 0.25 0.5 fy(y) 0.5 0.5 1 Mark the choice that is FALSE: (a) E(X² + Y2) = E(X) + E(Y) (b) X and Y are statistically independent. (c) E(X²) = (E(X))² (d) var(X) = var(Y) (e) P(X = 1|Y = 1) = P(X = 1|Y = 0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 12. Let X, Y be two random variables and take values in {0,1} and whose joint distribution is given by: Joint Distribution Y = 0 Y=1 fx(x) X = 0 0.25 0.25 0.5 X = 1 0.25 0.25 0.5 fy(y) 0.5 0.5 1 Mark the choice that is FALSE: (a) E(X² + Y2) = E(X) + E(Y) (b) X and Y are statistically independent. (c) E(X²) = (E(X))² (d) var(X) = var(Y) (e) P(X = 1|Y = 1) = P(X = 1|Y = 0)
Transcribed Image Text:Question 12. Let X, Y be two random variables and take values in {0,1} and whose joint distribution is given by: Joint Distribution Y = 0 Y=1 fx(x) X = 0 0.25 0.25 0.5 X = 1 0.25 0.25 0.5 fy(y) 0.5 0.5 1 Mark the choice that is FALSE: (a) E(X² + Y2) = E(X) + E(Y) (b) X and Y are statistically independent. (c) E(X²) = (E(X))² (d) var(X) = var(Y) (e) P(X = 1|Y = 1) = P(X = 1|Y = 0)
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