Create U and V both Uniform on [0,1]. Use excel to generate this data. (10000 data points in each set (U will have 10000 data points and V will have 10000 data points.)
Create another set: X=U*V.
Using the parameters for U and V compute the theoretical values for E(X), E(U), E(V) and Var(X), Var(U), Var(V).
Then using the simulation data compute the numerical values for E(X), E(U), E(V) and Var(X), Var(U), Var(V).
Use the Excel Data analysis and statisticspackage for this problem and please show all work in detail.
Uniform distributions and simulations are examined.