Question

2. A job is assigned to two teams, A and B. Each team wil accept or decline the jolb independently. Teams A and B accept the job with probabilities of 0.8 and 0.4 independently. If none of the team accepts the job, the job would be failed. The probabilities of successfully finishing the job with only team A, with only team B, and with both teams are 0.6, 0.4, and 0.8, respectively. (e) (8 points) What are the probabilities that only team A accepts the job, only team B accepts the job, both teams accept the job, and both team reject the job respectively? (b) (4 points) What is the probability that the job is finished by only team A? (c) (8 points) Given the job is successfully finished, what is the probability that the job is finished by team A (that is, by only team A or by both teams A and B)?

will give thumb up for the solution thx

Answer 1

P (Accept - e)- o. 4 ccelp 尸 (Because events are mchehen dend) (A) ρ (Both geject) = 1-o-q:8-0.@ 8-0. 32.

o b is inis he Lnder ,olowi cicumstom ces (i) Either Team B does not acceト job and team Amp ete eaim OA:- au evaluated os i) P(Accept-A)×P(Accept-B)X (Complete-)xB 0.1152.

We hawe alued ev aluated ths 0-032+0 OS12

二 0.256 二 O-1千千十0.0832-t 0,256 -o.ar 8 32 =|P(Corv uplete.) Hen, the Baqcaian brobie can n ew be evaluated a O.千832. o.53