The following table presents the first level activities necessary in the development of a new product. Each activity presents its estimated duration in working DAYS, as well as those relevant predecessor activities to start their execution.

	Duration (Days)
activity	Immediate predecessor	Optimistic	Probable	pessimistic
A. Estimate future demand	-	1	2	3
B. Determine the pricing strategy	-	3	4	5
C. Design the product	A	3	5	7
D. Conduct a promotional cost analysis	A	1	2	3
E. Manufacture the prototype models	C	8	10	12
F. Develop product cost analysis	D	1	2	3
G. Prepare the final price analysis	B,F	3	4	5
H. Implement market testing	E,G	4	6	8

Based on this information, determine the following points: a) Determine the critical path of the project by applying the CPM method (report critical activities) b) Report the total clearances and the free clearances of the non-critical activities of the project c) Determine the probability that the duration of the project is greater than 25 days. d) Determine the probability that the duration of the project is between 22 and 24 days (greater than 22 days and less than 24 days)