Derive the probability distribution of the completion times:
a. The following probability distributions relate to the completion times, in weeks, T_{A} and T_{B} of two independent activities, A and B respectively.
t
Pr(T_{A} =t)
2
0.20
4
0.35
6
0.25
8
Pr(T_{B} =t)
3
5
0.50
7
The activities A and B form a important phase of a project.
i). Derive the probability distribution of the completion times of this phase if the two activities are undertaken in:
a. series
b. parallel
ii) For each of the distribution in (i) above, calculate their relevant statistics.
A task is known to have the following time to completion (in days), T and cost, C probability distribution, respectively: T » N(20,25)
The distribution of C is conditional on T and is given by:
Calculate:
i). Pr(T£25);
ii Pr(C£2200).