Calculate the normalization factor of a wavefunction

A quantum system has a measurable property represented by the observable S with possible eigenvalues nħ, where n = -2, -1, 0, 1, 2. the corresponding eigenstates have normalized wavefunctions Ψn. the system is prepared in the normalized superposition state given by, *Please see attached for equation*

Where N is a normalizing factor.

i) Calculate N.

ii) Write down the probabilities of the following measurements of *see attachment for numbers*