Question: 1. (10 pts) Complete the probabilistic estimating problem (below) from the class notes on probabilistic moments. A construction project requires: 10,000 cubic yards of earth

1. (10 pts) Complete the probabilistic estimating problem (below) from the class notes on probabilistic moments. A construction project requires: 10,000 cubic yards of earth excavation, E[E] = $3.00/yd3, VE = 10%. 1,000 cubic yards of rock excavation, E[R] = $20.00/yd3, VR = 25% 5,000 cubic yards of excavated soil can be sold for a credit of E[S] = -$1.00/yd3, Vs = 5% For the total cost, C = E + R + S (where S is negative), find E[C], varc, oc, Vc. The percent contribution to the total uncertainty for each variable is the a varx term divided by the total variance. Find the contribution of each variable. Note: Vx is the coefficient of variation (CoV) for variable x, and E[x] is the expected value or mean of variable x. 2. (3 pts). From problem 1, assuming C is normally distributed, find how much money the owner should have available to be 95% sure there is sufficient funding

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