Q24Comprehension2 Marks16 Mar 2025PassageLet X1,…,X10X_1,\ldots,X_{10}X1,…,X10 be i.i.d. Uniform[0,1]\mathrm{Uniform}[0,1]Uniform[0,1] random variables. Suppose Y=(X1+⋯+X10)/10Y=(X_1+\cdots+X_{10})/10Y=(X1+⋯+X10)/10 is the sample mean. Based on the above data, answer the subquestions.Which option(s) is/are correct?AE[Y]=0.5E[Y]=0.5E[Y]=0.5BE[Y]=0.6E[Y]=0.6E[Y]=0.6CVar(Y)=1/12\operatorname{Var}(Y)=1/12Var(Y)=1/12DVar(Y)=1/120\operatorname{Var}(Y)=1/120Var(Y)=1/120
