Finding Coeff and Probability of a Wave Function

[mdp5051]

Homework Statement

Hi guys, I'm really confused about how to about solving this problem, any help would be much appreciated.

Consider the wave-function:

$$\Psi(x,t)=\left\{\begin{array}{cc}Asin(pi*x)\exp^{-it\omega},&\<br /> -1\leq x\leq 1\\0, & \ elsewhere\end{array}\right{$$


a) Determine A

b) Find the probability of finding the particle in the region $$0\leq x\leq 1$$.

 

[George Jones]

What is the relationship between wave functions and probability?