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
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.