$$ Make Sure to interpret your answer using at least one sentence about the solution obtained. $3\mathrm{.}14$ Project Management Ch $3$ Kelle Carpet and Trim Installs carpet in commercial offices. given in teh follwoing table: Peter Kelle has been very concerned with the amount of turn it took to complete several recent jobs. Some of his workers are are very unreliable. A list of activities and their optimistic completion time,$$ the most likely completion time, and the pessimistic completion time $($all in days$)$ for a new contract are$$ given in the follwoing table: Determine the expected completion time and variance for each activity. a$)$ Determine the expected completion time and variance for each$$ activity. b$)$ Determine the total project completion time and the critical path for the project. c$)$ Determine ES$,$ EF$,$ LS$,$ LF$,$ and slack for each activity. d$)$ What is the probability that Kelle Carpet and Trim will finish$$ the project in $50$ days or less? ACTIVITY A $($Optimistic$)$ M $($Most likely$)$ B $($Pess$)$ Immediate Predecessor$($s$)$ A $259-$ B $356-$ C $234-$ D $678$ C E $246$ B$,$D F $61014$ A$,$E G $124$ A$,$E H $369$ F I $101112$ G J $141620$ C K $2810$ H$,$I