Does a continuous random variable X exist with E(X − a) = 0,
where a is the
day of your birthdate? If yes, give an example for its probability
density function.
If no, give an explanation.
(b) Does a continuous random variable Y exist with E
(Y − b)
2
= 0, where b is
the month of your birthdate? If yes, give an example for its
probability density
function. If no, give an explanation.