Activity$$Description$$Immediate Predecessor$($s$)$None None A A B$,$ C$$Pessimistic $($days$)$A Hire staff, cast B Record soundtrack C Film scenes D Arrange publicity & distribution E Edit film$($days$)($days$)12\mathrm{.}5414\mathrm{.}0712\mathrm{.}5412\mathrm{.}5712\mathrm{.}54$Please answer the following three questions, based on this information.$$Questions$1.$ What is the expected completion time of this project? What is the critical path through this project?$2.$ What is the late start time of activity D$,$ arranging publicity and distribution? $3.$ Convex Productions has agreed to start on this project immediately. If Convex Pro$-$ ductions does not complete the project within $8$ days of starting it$,$ Convex loses a large financial bonus for prioritizing this particular project. What is the probability$$that Convex Productions will actually earn this bonus?