quantum system normalization factor?

Question

Y = Wave function

A quantum system has a measurable property represented by the observable S with possible eigenvalues nh,where n = −2, −1, 0, 1, 2. The corresponding eigenstates have normalized wavefunctions Y n. The system is prepared in the
normalized superposition state given by

Y = 1/N [ Y-2 + 2Y-1 + 4Y+1 - 6Y+2]

where N is a normalization factor.

1.Calculate N

2. Write down the probabilityfor each of the following measurements of S
-h, 0, 2h

Answer 1

1) Y Y* = (1/N^2) [1 + 2^2 + 4^4 + (-6)^2]
= (1/N^2) [297]

But to be normalized, Y Y* = 1, so
N = 1/sqrt(57) = 1.325e-1

2)
-h: The probability is (2/N)^2 = 0.07

0: The probability is 0

2h: The probability is (-6/N)^2 = 0.632

Answer 2

1. N = (1/13)^(1/2)

2. What's h? For S=0, P=0