Physical Chemistry Quantum Mechanics Wave Function question

1)(30 points) Suppose a system has a wave function given byP(X) = Ax for 0 < x < L/2P(X) = A(L-X) for L/2S X SLP(x) =0 for x everywhere elseAnd subject to V(x)=0 for 0 < x - L/2 and V(x)=co everywhere else.a) Draw a picture of the wave function inside a 1-dimensional boxb) Set up (do not evaluate) the integral (with the limits) you would use to determine thenormalization constant A.c) Why do you need the wave function to be normalized?