1.If X is a Gaussian random variable with zero mean and variance equal to 1, then the density
function of Z = is equal to 2fx(z), z ≥ 0.
2. The sum of a random number of independent Gaussian random variables with zero mean and unit variance results in a Gaussian random variable regardless of the distribution of N (the number of variables in the sum).
keywords: rv, r.v.
Gaussian Random Variables are investigated. The solution is detailed and well presented.