Question

In practice, it is not often that you will need to work directly with the probability density function (pdf) of Gaussian variables. Nonetheless, we will make sure we know how to manipulate the (pdf) in the next two problems.

If the pdf X is a Gaussian variable is. fX(x)=n3/√2π exp(−n^2(x−2)^2 / 18),

then what is the mean μ and variance σ2 of X?
(Enter your answer in terms of n.)

μ=   

σ2=

Answer 1