the pdf of a random variable is geven as $\displaystyle f(x)= \frac{32}{x^3}$ if $\displaystyle x \geq 4$, and 0 otherwise.

I am supposed to find $\displaystyle P(X \geq 10)$

what I did was : $\displaystyle P(X \geq 10) = 1 - F(10) = \int_{10}^{\infty} f(y) \mbox{dy}$

is that the correct way?

thanks