Horizon Aerospace Industries has received a contract from NASA to assemble a module for an upcoming space mission. A team of Horizon engineers has developed the list of activities, precedence constraints, and time estimates shown below.
a. Draw a PERT network for the NASA project. Include dummy activities if needed to ensure that each activity has a unique i,j designation.
b. For each activity calculate the total float and free float.
c. What is the probability that the project will be completed in 54 days or less?
d. What is the probability that the project will be completed by its earliest expected completion date?
e. What is the probability that the project will take more than 70 days to complete?