Q3Multiple correct3 Marks3 Aug 2025Suppose X1,X2,X3∼X_1,X_2,X_3\simX1,X2,X3∼ i.i.d. XXX such that E[X]=10E[X]=10E[X]=10 and Var(X)=4\operatorname{Var}(X)=4Var(X)=4. Define Y=X1−X2+X3Y=X_1-X_2+X_3Y=X1−X2+X3 and Z=2YZ=2YZ=2Y. Choose the correct option(s).AE[Z]=10E[Z]=10E[Z]=10BVar(Z)=48\operatorname{Var}(Z)=48Var(Z)=48CVar(Z)=24\operatorname{Var}(Z)=24Var(Z)=24DE[Z]=20E[Z]=20E[Z]=20
