I was given this problem: Let the state $f(x)=e^{-|x|}$ and an operator $P=-i\frac{d}{dx}$.
(a) What is the probability that a measure of P results in the interval $[0,1]$
(b) What is the Fourier Transform of $f(x)$.
Question: Why is (a) asked before (b), wouldn't we need to use the result from (b) to compute (a)?