Answer is option A, B)
for a constant, variance is always zero
For expected value,
Let For E(x)
Then var(x) = E( x - E(x))2
Var of E(x)
Var(E(x)) = E( E(x) - E(x))2 = 0
So variance is 0 of an expected value
.
A random variable will have zero variance if and only if , it is a constant
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