Derive the probability distribution of the completion times, Mathematics

Derive the probability distribution of the completion times:

a. The following probability distributions relate to the completion times, in weeks, TA and TB of two independent activities, A and B respectively.

t

Pr(TA =t)

2

0.20

4

0.35

6

0.25

8

0.20

 

t

Pr(TB =t)

3

0.25

5

0.50

7

0.25

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:

 

1729_probability distributions.png

Calculate:

i). Pr(T£25);

ii Pr(C£2200).

Posted Date: 2/14/2013 5:02:56 AM | Location : United States







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