Q1:

A discrete random variable X has expected value μX and standard deviation σX.

Consider now the random variable Z:

Z = ( x - μX ) / ( σX )

What is the expected value and the standard deviation

of Z?

Q2:

Determine the value of the constant A ∈ ℝ such that the function

g (x) = Ac os x; x ∈ [-π/2 , π/2]; g (x) = 0 x ∉ [π/2-, π/2]

...is the density function for a random variable. Also determine the mean and standard deviation of the random variable.

____

Thank you,

sverige2