Consider the Following Work Breakdown Structure What Is the Probability That the Critical Path for This

question 91

Multiple Choice

Consider the following work breakdown structure: $$\begin{array}{r}\text { Duration Estimates (Days) }\quad\quad\quad\\\begin{array} { l c c c c } \text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { Start } & \text { U, V } & - & - & - \\\text { U } & \text { W } & 35 & 50 & 65 \\\text { V } & \text { W, X } & 28 & 40 & 52 \\\text { W } & \text { Z } & 26 & 35 & 44 \\\text { X } & \text { Y } & 28 & 40 & 52 \\\text { Y } & \text { Z } & 26 & 29 & 38 \\\text { Z } & \text { End } & 36 & 60 & 84\end{array}\end{array}$$ What is the probability that the critical path for this project will be completed within 200 days?

• A) 0.8413
• B) 0.9544
• C) 0.9772
• D) 0.9974
• E) 0.9987

---

Definitions:

Null Hypothesis

A hypothesis that suggests there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

Standard Error of the Mean

A statistical measure that estimates the sampling variability of the mean from different samples drawn from the same population.

Standard Error of the Mean

The standard deviation of the sampling distribution of the mean, showing how much the sample mean is expected to vary from the true population mean.

Population Averages

The mean value of a particular characteristic in a population, representing the central tendency of that characteristic across the entire population.