Use the data in the table below for the following questions.

What is the expected time for each activity

Activity A: $9\mathrm{.}5$

Activity B: $7$

Activity C: $11\mathrm{.}33$

Activity D: $12\mathrm{.}33$

Activity E: $16$

Activity F: $6\mathrm{.}17$

Activity G: $8\mathrm{.}33$

Activity H: $10\mathrm{.}67$

Activity I: $13\mathrm{.}83$

Activity J: $4$

What is the variance for each activity

Activity A: $0\mathrm{.}69$

Activity B: $0\mathrm{.}44$

Activity C: $1\mathrm{.}78$

Activity D: $1$

Activity E: $2\mathrm{.}78$

Activity F: $0\mathrm{.}03$

Activity G: $0\mathrm{.}69$

Activity H: $0\mathrm{.}69$

Activity I: $1$

Activity J: $0$

$1.$ What is the expected project completion time using the longest path method and the ES$/$EF;LS$/$LF method

$2.$ What are the critical activities using the longest path method and the ES$/$EF; LS$/$LF method.

$3.$ What are the slack values for non$-$critical activities using the longest path method and the ES$/$EF; LS$/$LF method

$4.$ What is the probability that the project will be completed in $39$ weeks using the longest path method and the ES$/$EF; LS$/$LF method

$5.$ What is the probability that the project will be completed in $41$ weeks using the longest path method and the ES$/$EF; LS$/$LF method