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A Company Has Used PERT for a Project and Wants

question 30

Essay

A company has used PERT for a project and wants to minimize the probability of overrunning a contract deadline of 30 weeks. Three paths of concern in the PERT network have these mean durations and variances in weeks:
 Path tVt1272.322254.123291.89\begin{array} { c c c } \text { Path } & \mathrm { t } & \mathrm { V } _ { \mathrm { t } } \\\hline 1 & 27 & 2.32 \\2 & 25 & 4.12 \\3 & 29 & 1.89\end{array}
a. What is the Z-score for path 1?
b. What is the probability of path 2 overrunning the deadline?


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