Assignment:
Suppose X has probability mass function Pr{X = k} = c(k + 2) for k = -1, 0, 1, 2 . Find c, and compute the mean, variance, and standard deviation of X.
Let Y = 3X + 5. Compute the mean, variance and standard deviation of Y.
Provide complete and step by step solution for the question and show calculations and use formulas.