Zuckerman Plumbing is a company that installs plumbing systems. John Zuckerman has been concerned with the amount of time that it takes to complete his jobs. Some of his workers are very unreliable. A list of activities and their optimistic, their pessimistic and their most likely completion times in days are given in the table: 

Part A. Determine the expected completion time and variance for each activity. Complete the table in the Quiz spreadsheet.

Part B. John Zuckerman would like to determine the total expected project completion time, and the critical path for installing plumbing systems in commercial fast food restaurants. Create a network diagram that identifies the appropriate ES, EF, LS, LF, and slack for each activity

Part C. What's the probability the project is completed in less than 32 days?

Part D. What is the expected value of the total number of days of labor required to complete the project?

Part E. If John attempted 3 identical (and independent) projects, what is the probability that all of them would be completed on or before the expected completion date?