Hello, please help with question 5

two bags, a quarter buy 1 bag, and the rest buy none. Let X be the number of bags of milk purchased on a given day. Arc X and N independent? (e) What is the probability that 5 bags will be purchased? (f) What is the probability that there will be 3 clients and that 5 bags will be purchased? (g) What is the probability the 5 bags will be purchased given that there are three clients? (h) Find the probability function of X. Number 5: You are considering investing in three funds, A, B and C, whose annual returns(as a proportion of the amount invested) are random variables with the following parameters: Fund Expected return Standard Deviation of Return Say that you also know that Cov(A, B) = 0.015. (a) Find COU(B, C) and Cov(A,C). (1)} Are A and B independent? Explain your answer. (c) You have $10 000 to invest, which you break up into three parts 334, .175 and :170 to be invested in the corresponding fund. (So IDA + .173 + 33.5; = 10000.) What is your expected return in terms of 334, .125 and :EC? (d) What is the variance of your return in terms of 37,4, .173 and mg? (C) Which investment strategy maximizes your expected returns? Which one min- imizes your risk of losing money