Refer to the KP&L sample points and sample point probabilities in the following tables.Completion Results for $40$ KP&L ProjectsCompletion Time $($months$)$Stage $1$Design$2223334$O$(2,6)$Oe$,6)$O$(4,6)$Stage $2$ConstructionD$(3,6)$O$(2,7)$Oo$,7)$O$(4,7)$O$4,6)676$O$(,7)$O$(4,7)67$O$2,8)$O$(3,8)$D$4,8)$SamplePoint$(2,6)$D$2,8)(2,7)$D$3,8)$O$(4,8)(2,8)(3,6)(3,7)(3,8)(4,6)(4,7)($b$)$ What is the probability that the design stage is over budget?$(4,8)$Number ofPast ProjectsHaving TheseCompletion Times$826626424$Total: $40$Probability Assignments for the KP&L ProjectBased on the Relative Frequency MethodSamplePoint$($d$)$ What is the probablity that the construction stage$(2,6)(2,7)(2,8)(3,6)(3,7)(3,8)(4,6)(4,7)(4,8)$ProjectCompletion Time$8$ months$9$ months$10$ months$9$ months$10$ months$11$ months$10$ months$11$ months$12$ monthsProbability ofSample PointP$2,6)=8=0\mathrm{.}2$o$40$P$(2,7)=2=0\mathrm{.}0540$P$(2,8)=6=0\mathrm{.}1540$P$(3,6)=6=0\mathrm{.}1540$P$(3,7)=2=0.$o$5($a$)$ The design stage $($stage $1)$ will run over budget if it takes $4$ months to complete. List the sample points in the event the design stage is over budget. $($Select all that apply.$)40$P$(3,8)=6=0\mathrm{.}1540$P$(4,6)=4=0\mathrm{.}10$P$(4,7)=2=0\mathrm{.}05()$ The construction stage $($stage $2)$ will run over budget if it takes $8$ months to complete. List the sample points in the event the construction stage is over budget. $($Select all that aO$(2,6)$ D$(2,7)40$P$(4.8)=4=0\mathrm{.}1040$Total: $1\mathrm{.}00$is over budget?