The following table provides the optimistic, most likely, and pessimistic times (in weeks) for a project that has five activities. The five activities are A, B, C, D, and E. The precedence relationships for the activities are provided in the network model.

Weeks

Activity a m b

A 2 6 4

B 6 8 10

C 8 9 10

D 1 2 3

E 3 4 5

Project newtworkProject starts with Activity A; B and C follow A; D is done after B anc C; E follows D

The formulas and table needed are provided below.

Formula and Table

Type your answers for the following 4 questions in the box below. Use capital letters and no spaces. Example: ABCD

The earliest expected completion date of the project is which of the following?

a. 18 weeks

b. 19 weeks

c. 20 weeks

d. 21 weeks

The variance of the project completion time is which of the following?

a. 1/9 weeks2

b. 1/3 weeks2

c. 1/6 weeks2

d. 4/9 weeks2

What is the probability of completing the project in 21 weeks or less?

a. less than or equal to 50%

b. greater than 50% but less than or equal to 75%

c. greater than 75% but less than or equal to 95%

d. greater than 95%

What is the probability that the project will take 18 or more weeks to complete?

a. less than or equal to 50%

b. greater than 50% but less than or equal to 75%

c. greater than 75% but less than or equal to 95%

d. greater than 95%