A a b c a c b c a c b c a c b c a b c 1 b a b c ac b

This preview shows page 1 - 4 out of 4 pages.

Problem 2.9a. (AB)c=AcBcAcBc=AcBc=(AB)c1
Problem 2.13A computer consulting firm presently has bids out on three projects. LetAi={awarded project i},fori= 1,2,3,and suppose thatP(A1) = 0.22, P(A2) = 0.25, P(A3) = 0.28, P(A1A2) = 0.11,P(A1A3) = 0.05, P(A2A3) = 0.07, P(A1A2A3) = 0.01. Express in words each of thefollowing events and compute the probability of each event:a.A1A2P(A1A2)=P(A1) +P(A2)-P(A1A2)=0.22 + 0.25-0.11
b.Ac1Ac2P(Ac1Ac2)=1-P(A1A2)=1-0.36=0.642
c.A1A2A3P(A1A2A3)=P(A1) +P(A2) +P(A3)-P(A1A2)-P(A1A3)-P(A2A3)-P(A1A2A3)=0.22 + 0.25 + 0.28-0.11-0.05-0.07 + 0.01=0.53d.Ac1Ac2Ac3P(Ac1Ac2Ac3)=1-P(A1A2A3)=1-0.53=0.47e.Ac1Ac2A33

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture