The wave function for a quantum particle is given by

Question

The wave function for a quantum particle is given by ψ(x)= Ax between x = 0 and x = 1.00, and ψ(x) = 0 elsewhere.

(a) Find the value of the normalization constant A.

(b) Find the probability that the particle will be found between x = 0.200 and x = 0.390.

(c) Find the expectation value of the particle's position.