consider the PERT network

Font Problem 4 (45 Points): Consider the PERT network, as shown below. The duration estimate for each activity is given in the notation o-m-p, whereo-optimistic, m-most likely (mode). P-pessimistic... The estimate times are given in weeks. What is the probability that this project will be completed in 88 weeks? D 10-12-15 7-9-12 Finish 0 A 5 8-11-15 K Ot 2-3-5 DEC-61 B 4.5.2 F 3.56 Start 10-13-17 8-11-15 H 18-20-23 15-18-21 J Fill out the following Table on the next page IS ES TE Task to to var to B D E F G H 1 K Critical Path and its duration Subtitle Title Y No Spac... Subtle Em... Intense E... Quote Intense Select Styles Editing Voice = - 6+ 16+ 4 + 4 6 To interpolate the y, value: *, *z. Y, and y, need to be entered/copied from the table. x, defines the point to perform the interpolation. y, is the interpolated value and solution o?=((tp- to)/6)) -s=(Ts - Tolor OT = (0-c + O2D + Ox+ ...) Solving for y y; - s ** Xx- ) ( * y Depends on the critical path Probabilty Table is on the next page Z Probability z -3.0 0.1% -10 12.9 0.2% -0.9 12.8 0.3% -0.8 2.7 0.3% -0.7 2.6 0.5% -0.6 25 0.6% -0.5 2.4 0.8% -0.4 -2.3 1.1% 03 -2.2 1.4% -0.2 -241 1.8% -0.1 -2.0 2.3% 00 -19 2.9% 0.1 -1.8 3.6% 0.2 -1.7 4.5% 0.3 -1.6 5.5% 0.4 1.5 6.7% -1/4 8.1% 0.6 -1.3 9.7% 0.7 1:2 11.5% 0.8 -1.1 13.6% 0.9 -1.0 15.9% 1.0 Probability 15.9% 18.4% 21.2% 24.2% 27.4% 30.9% 34.5% 38.2% 42.1% 46.0% 50.0% 540% 57.9% 61.8% 65.5% 69.1% 72.6% 75,8% 78.8% B1.6% B4.1% z 1.0 1.1 1.2 1.3 1.4 15 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 28 2.9 3.0 Probability 84.1% 86.4% 88.5% 90 3% 91.9% 93.3% 94.5% 95.5% 96.4% 97,1% 97.7% 98.2% 98.6% 98.9% 99.2% 99.4% 99.5% 99,7% 99.7% 99.8% 99.9% 015