The angular distribution of the neutrons scattering off of an atomic nucleus is given by the following PDF: P(θ) = 5 cos θ. What is the corresponding CDF for this scattering process?
The CDF for this process is given by CDF = \int _{0}^{θ}P(t)dt = \int _{0}^{θ} 5cosθ dθ = 5 sinθ.