A project has four activities (A, B, C, and D) that must be performed sequentially. The probability distributions for the time required to complete each of the activities are as follows:

Activity		Activity Time (weeks)		Probability
A		4		0.25
		5		0.33
		6		0.20
		7		0.22
B		5		0.24
		7		0.56
		9		0.20
C		11		0.08
		13		0.25
		15		0.35
		17		0.17
		19		0.15
D		12		0.61
		14		0.39

a. Provide the base-case, worst-case, and best-case calculations for the time to complete the project.

Activity	Base case	Worst case	Best case
A	_weeks	_weeks	_weeks
B	_weeks	_weeks	_weeks
C	_weeks	_weeks	_weeks
D	_weeks	_weeks	_weeks
Total	_weeks	_weeks	_weeks

b. Use the random numbers 0.3432, 0.8123, 0.1338 and 0.94 to simulate the completion time of the project in weeks.

Activity	Random Number	Completion Time
A	0.3432	_weeks
B	0.8123	_weeks
C	0.1338	_weeks
D	0.94	_weeks
Total		_weeks

c. *(Fill in the blank)* Discuss how simulation could be used to estimate the probability that the project can be completed in weeks or less. Simulation provides a distribution of project completion times. The *(Mean/Percentage)* of times weeks and under can be used to estimate the probability that the project will be completed within weeks.

Please answer the questions in the format in which they are presented. Thank you!