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To interpolate the y, value: X1 X3. y, and y; need to be entered/copied from the table. 6 x, defines the point to perform the interpolation. y, is the interpolated value and solution O'=((1p- 1.)/6))2 = =(T - T )/OT Solving for y, or = (Ofc + O'D + off + ...)1/2 (X, - X, ) ya Dependson the critical path Z Probability Z Probability Z Probability -3.0 0.1% -1.0 15.9% 10 84.1% -2.9 0.2% -0.9 18.4% -2.8 1.1 86.4% 0.3% -0.8 21.2% -2.7 1.2 88.5% 0.3% -0.7 24.2% 1.3 90.3% -2.6 0.5% 0.6 27.4% 1.4 91.9% -2.5 0.6% 0.5 30.9% 1.5 -2.4 93.3% 0.8% 0.4 34.5% 1.6 -2.3 94.5% 1.1% -0.3 38.2% 1.7 95.5% -2.2 1.4% -0.2 42.1% 1.8 96.4% -2.1 1.8% -0.1 46.0% 1.9 97.1% -2.0 2.3% 0.0 50 0% 2.0 97.7% -1.9 2.9% 0.1 54.0% 2.1 98.2% -1.8 3.6% 0.2 67.9% 2.2 -1.7 98.6% 4.5% 0.3 61.8% 2.3 98.9% -1.6 5.5% 0.4 65.5% 2.4 -1.5 99.2% 6.7% 0.5 69.1% 2.5 99.4% -1:4 8.1% 0.6 72.6% 2.6 99.5% -1.3 9.7% 0.7 75.8% 2.7 -1.2 99.7% 11.5% 0.8 78.8% 2.8 -1.1 99.7% 13.6% 0.9 81.6% 2.9 99.8% -10 15.9% 1.0 84.1% 3.0 99.9%_ .3 Consider the PERT network, as shown below. The duration estimate for each activity is given in the notation oInp, where: o optimistic, In most likely {mode}, p pessimistic. The estimate times are given in weeks. What is the probability that this project will be completed in 81 weeks? Probabilty Table on the next page 9 Critical Path and its duration