Question

Given a random variable X has the following pmf: X -1 0 1 P[X] 0.25 0.5...

Given a random variable X has the following pmf:

X
-1
0
1
P[X]
0.25
0.5
0.25

Define Y = X2 & W= Y+2.

Which one of the following statements is not true?

A) V[Y] = 0.25.
B) E[XY] = 0.
C) E[X3] = 0.
D) E[X+2] = 2.
E) E[Y+2] = 2.5.
F) E[W+2] = 4.5.
G) V[X+2] = 0.5.
H) V[W+2] = 0.25.
I) P[W=1] = 0.5
J) X and W are not independent.
Math   Statistics-And-Probability   
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