The answer can be one of many
What is selected was marked incorrect.
E[X + a] = E[X + b]
=> E[X] + a = E[X] + b
=> a = b
If E[X + a] = E[X + b], then a = b is correct
E[aX] = E[bX]
=> aE[X] = bE[X]
=> a = b if E[X] 0
If E[aX] = E[bX], then a = b is correct only when E[X] 0
E[X] E[Y]
=> aE[X] aE[Y]
=> aE[X] + b aE[Y] + b
E[aX + b] E[aY + b]
If E[X] E[Y] then E[aX + b] E[aY + b] is correct.
Thus the second option, If E[aX] = E[bX], then a = b seems to be incorrect.
It is not valid when E[X] = 0
The answer can be one of many What is selected was marked incorrect. Which of the...
The answer can be one or many of the choices. Which of the following statements are true for all random variables X, Y and fixed numbers a, bE R? O lfEX + a]=E[X+8, then a = b. If E[aX] = ElbX), then a=b.
Answer can be one or multiple Which of the following statements are true about all Independent random variables, X and Y? V(X+ Y) = V(X) + V(Y)
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