Table 3.10
You are responsible for managing a project with the following activities
(times are given in weeks).
$$\begin{array} { | c | c | c | c | c | }
\hline \text { Activity } & \begin{array} { c }
\text { Optimistic } \
\text { Time }
\end{array} & \begin{array} { c }
\text { Most Likely } \
\text { Time }
\end{array} & \begin{array} { c }
\text { Pessimistic } \
\text { Time }
\end{array} & \begin{array} { c }
\text { Immediate } \
\text { Predecessor(s) }
\end{array} \
\hline \text { A } & 2 & 5 & 14 & \cdots \
\text { B } & 8 & 11 & 14 & \cdots \
\text { C } & 5 & 7 & 9 & \text { A } \
\text { D } & 6 & 9 & 12 & \text { A } \
\text { E } & 1 & 3 & 5 & \text { D,B } \
\hline
\end{array}$$
-Using Table 3.10,what is the probability that the project will take 16 or more weeks to complete? You will need to refer to a standard normal table to answer the question.
A) less than or equal to 40%
B) greater than 40% but less than or equal to 55%
C) greater than 55% but less than or equal to 70%
D) greater than 70%

Question

Table 3.10
You are responsible for managing a project with the following activities
(times are given in weeks).
 $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Activity } & \begin{array} { c } 
\text { Optimistic } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Most Likely } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Pessimistic } \
\text { Time }
\end{array} & \begin{array} { c } 
\text { Immediate } \
\text { Predecessor(s) }
\end{array} \
\hline \text { A } & 2 & 5 & 14 & \cdots \
\text { B } & 8 & 11 & 14 & \cdots \
\text { C } & 5 & 7 & 9 & \text { A } \
\text { D } & 6 & 9 & 12 & \text { A } \
\text { E } & 1 & 3 & 5 & \text { D,B } \
\hline
\end{array}$$
-Using Table 3.10,what is the probability that the project will take 16 or more weeks to complete? You will need to refer to a standard normal table to answer the question.
A) less than or equal to 40%
B) greater than 40% but less than or equal to 55%
C) greater than 55% but less than or equal to 70%
D) greater than 70%

Quizplus · Accepted Answer

The project will take 16 or more weeks to complete if the project takes longer than 15.5 weeks to complete. The expected project duration is 12.2 weeks, and the standard deviation is 2.2 weeks. The z-score for a project duration of 15.5 weeks is (15.5 - 12.2) / 2.2 = 1.5. The probability that the project will take longer than 15.5 weeks to complete is the area under the standard normal distribution to the right of z = 1.5, which is approximately 0.0668, or 6.68%. Therefore, the probability that the project will take 16 or more weeks to complete is greater than 70%.

Table 310 You Are Responsible for Managing a Project with the the Following

Table 310
You Are Responsible for Managing a Project with the the Following