Q2Multiple correct2 Marks10 May 2026Let X and Y be two random variables. Choose all the correct statements from the following:AVar(X)=E[X2]+(E[X])2\operatorname{Var}(X) = \mathbb{E}[X^2] + (\mathbb{E}[X])^2Var(X)=E[X2]+(E[X])2BVar(100X−36)=10000Var(X)\operatorname{Var}(100X - 36) = 10000Var(X)Var(100X−36)=10000Var(X)CThevarianceofaBernoullirandomvariableismaximumwhenp=0.5,wherepistheprobabilityofsuccess.The variance of a Bernoulli random variable is maximum when p = 0.5, where p is the probability of success.ThevarianceofaBernoullirandomvariableismaximumwhenp=0.5,wherepistheprobabilityofsuccess.DVar(X+Y)=Var(X)+Var(Y)foranytworandomvariablesXandY.\operatorname{Var}(X + Y) = \operatorname{Var}(X) + \operatorname{Var}(Y) for any two random variables X and Y.Var(X+Y)=Var(X)+Var(Y)foranytworandomvariablesXandY.
