Question

9. -/10 points DevoreStat9 2.E.022. My Notes Ask Your Teacher The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (C) What is the probability that he must stop at exactly one signal? Need Help? Read It Talk to a Tutor

Answer 1

Sal erivent Roide used hy Cestain mtoist Gammatiny a in Contains ta intexsebons Pobabily that he must stop a frst sena! let it taken s p A)o.45 Probabilt fthe 5igral secand Signal s taken vas P0.5 potalsity Let the that the person mut ap vat leart by given ene PCAUB) = 0.55 have data frorm given data we P(B)0.5, P(AUB) 0.56 PO) = 0.45 / rals (a) probabil tet b tstopt ven F(he must stops at koth snl) PCAne) = P)B) - p(a Ua) O.45 +0.50-0.55 O.40

PChe stops at beth o.40 Pankabily that bemust stopat fost stanal hut not at the eo ne need to fnd Nao, Loe P(he mut p a fid but not at secom one giren and takn plana) f.e PlanE)- Ple) - plane) o. 45-0.40 O.05 he must stop ot frstsiynad = 0.05 but not at seand ene () Probabibthat he mt so ey ome P(he must stop vat eady mal ene PIA)- Pane)pe-pane) P)pe)-2flane) O. 45 t0.552(0.y0) 0.15 0.95- 0.80 Sypal) P(he mut stop at eocy 0.15 ene