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