A wave function is given by \( Ψ(x) = a \sin(x) \) between \( x = 0 \) and \( x = π \) but is zero elsewhere. Normalize the wave function and determine the probability that the particle is in the following ranges:
A. 0 ≤ x ≤ π/4
B. π/4 ≤ x ≤ π/2
C. π/2 ≤ x ≤ 3π/4
D. 3π/4 ≤ x ≤ π