conditional expectation


Hi there,

There's a rather silly question:

I want the expected value of X, when X comes from standard
normal distribution (N(0,1)), given that X>1.5 i.e.

E(X|X>1.5)

Isn't that equivalent to the integral from 1.5 to Inf of
the "x*f(x)" ??

The expression:
syms x
int(x*1/sqrt(2*pi)*exp(-x^2/2),1.5,Inf)

gives me

..1295175

which is below 1.5...

Any hint?.. I am probably missing something in
theory...Thanks in advance!!


.

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