Answer the following Essay Type Questions (6)

• A small software development project has five major activities. The times are estimated and provided in the table below.

Activity Immediate Predecessor a m b

A --- 2 5 8

B --- 10 10 10

C A 4 7 10

D B 2 5 14

E C 3 3 3

Draw the PERT network associated with the activity and calculate expected time.

• Development of a new deluxe version of a particular software product is being considered. This deluxe version has seven major activities. The times are estimated and provided in the table below:

Activity Immediate Optimistic Most likely Pessimistic

Predecessor a m b

A --- 3 4 5

B --- 6 7 14

C A 6 9 12

D B 0.5 1 1.5

E B 2 3 10

F D, C 4 5 12

G E 1 3 11

Construct a network for this problem Determine the expected time and variance for each activity.Jean Walker has laid out the major steps and eight activities to complete the wing assembly for an experimental air craft. These activities have been labeled A to H in the following table, which also shows their estimated completion time (in weeks) and immediate predecessors.

Activity Immediate Predecessors a m b

Determine the earliest start, latest start and finish time and slack time for each activities.

• Determine variance of the critical path and expected project completion length.

• The number of cars arriving at a self-service gasoline station during the last 50 hours

of operation are as follows:

• Number of cars arriving Frequency

6 10

7 14

8 18

9 8

• Set up a probability and cumulative probability distribution for the variable of car arrivals.
• Estimate random number intervals for the variables.
• The following random numbers have been generated: 99, 98, 26, 09, 49, 52, 33, 89, 21, and 37. Simulate 10 hours of arrivals at this gas station. What is the average number of arrivals during this period?