Why Is the Sky Blue? Understanding Rayleigh Scattering

The Human Eye and Colorful World Class 10 Science Previous Year Questions to ACE CBSE Boards 2023

The Rayleigh distribution from Example 5.1.7 has PDF f(x)=x e^-x^2 / 2, x>0 . Let X have the Rayleigh distribution. (a) Find E(X) without using much calculus, by interpreting the integral in terms of known results about the Normal distribution. (b) Find E(X^2). Hint: A nice approach is to use LOTUS and the substitution u=x^2 / 2, and then interpret the resulting integral in terms of known results about the Exponential distribution. | Numerade