Question

Complete this table. Which tasks have the highest degree of uncertainty in terms of the time required to complete them? Submit the assignment to Dropbox. Predecesso Standard Diatom Task 14 day 7 days 21 days 16 days 6 days 9 days 18 days 15 days 19 days 11 days 21 days IN days 17 days dans I7 days Choose File No file chosen

Answer 1

Formula to be used

Expected time duration = Mean = [TO +4*TM + TP]/6

Variance = V = ([TP -TO]/6)^2

Standard Deviation = $\sigma$ = $\sqrt{V}$

Using the formula stated above,

Calculating Expected time duration (Te) for task 1 = [3 + 4*7 + 14]/6 =45/6 = 7.5

Calculating variance for task 1 = [(14-3)/6]^2 = (11/6)^2 = 3.3611

Calculating standard deviation for task 1 = ${\sqrt{3.3611}}$ = 1.833

Similar calculations are performed using these formula for all tasks and presented in the table below-

Task	To	Tm	Tp	Te	Variance	Standard Deviation
1	3	7	14	7.500	3.361	1.833
2	16	21	43	23.833	20.250	4.500
3	6	8	15	8.833	2.250	1.500
4	9	11	19	12.000	2.778	1.667
5	18	21	38	23.333	11.111	3.333
6	13	18	30	19.167	8.028	2.833
7	12	17	27	17.833	6.250	2.500
8	7	9	13	9.333	1.000	1.000

As we can see from the table above, Task 2 has the highest value of standard deviation (4.5) and hence the highest degree of uncertainty.