The Canadian Concrete Design Handbook provides the following formula for predicting the modulus of elasticity of reinforced concrete (the American Concrete Institute has a similar formula) EC = 0.033%}'5 fc' where EC is the modulus of elasticity in kips/inz, yC is the density of the concrete in lb/3 and fc' is the compressive strength of concrete in lb/inz. Because the density and compressive strength of concrete are uncertain quantities, we treat them as random variables. For a particular type of concrete, the density, ye, has a gamma distribution (see Section 8 of Lecture notes) with parameters k = 210.25 and 11 = 1.45 ft3/lb. The uncertainty in the compressive strength fc' is also modeled with a gamma distribution but with parameters k = 16 and A = 0.004 in2/lb. Furthermore, the density and compressive strength are positively correlated with p = 0.30. Compute the rst-order, mean-centered estimates for the mean and standard deviation of the modulus of elasticity