Please have detailed steps if possible

Please write down your solutions to the following questions with detailed steps. Expected Return, Variance and Standard Deviation Review: (a) Expected Rate of Return S E(T) = p(sr(s) S=1 (b) Variance Var(r) = 0 = p(s)[r(s) - E(r)]2 S=1 (c) Standard Deviation SD(r) = 0 = Var(r) Where: p(s) ---- The probability of each scenario r(s) ---- The HPR the asset will realize in each scenario Question 1 Suppose your expectation of the stock market are shown as follows: Scenario (s) Prob. (p(s)) r(s) Boom 0.2 30% Normal 0.5 20% Recession 0.3 -20% Compute the mean (Expected Return E(r)), variance and standard deviation of the stock