please help me with step step calculation

3.1 Solve the below problem (8) Let Y1, Y2, and Y3 be random variables, where E(Y1)=1.E(Y2) = was) = 1. 13(le = 1. Vii/2) = 3, VU'E) = 5, Cov (13,13) = 0.4, Cov(Y1,Y3) = 1/2, and Cov(Y2, Y3) = 2. 3.1.1 Find the expected value and variance of U = 2Y1 31" 2 + 213,. (2+2=4) 3.1.2 If W = 2Y1 + 2Y2, m Cov(U, W) and state if U and W are independent. (2+2=4) 3.2 Complete the below statement (2) Let us assume that evely year, 1000 students in the University of the Western Cape are randomly and independently sorted into one of four campus residences with equal probability. The number of students in each of the residences is distributed according to a distribution. 3.3 Solve the below problem: (4) The National Fire Incident Reporting Service stated that, among residential res, 63% are in family homes, 22% are in apartments, and 15% are in other types of dwellings. If ve residential res are independently reported on a single day, what is the probability that two are in family homes, two is in an apartment, and one is in another type of dwelling