let x be a discrete random variable with the probability function f(x) = kx^3 + 0.15 for x = -1,0,1,2

find the value of k

Find the following quantities also: f(0)=, F(0)=, f(1.5)=, F(1.5)=, P(0

Also find the mean (exact), the variance , and the standard deviation ( both rounded to three decimal places) of this random variable.