Consider the random variables X
x 1 | 2 | 3 P(x) 0.3 |0.5 |0.2
Find the distribution, mean µY , variance and standard deviation σY of the random variable Y = Φ(X) where (a) Φ(x) = x^3 (b) Φ(x) = 2^x.
My question is. When i will calculate the expectation value..will i have to do it based on the table above which is the distribution of x, or i have to calculate it based on the table of x^3?