Answer Happy

Q3. (a) Consider the network given in the following Figure with four switches. Suppose that switch 1 allows a message through with probability 0.88, switch 2 allows a message through with probability 0.92, switch 3 allows a message through with probability 0.90 and switch 4 allows a message through with probability 0.80. Stating the assumption and the underlying probability theory, determine the probability that a message will not find a route through the network? 2 0.88 0.92 0.90 80 (b) A computer-consulting firm presently has bids out on three projects. Let A= (awarded project i), for i = 1,2,3 and suppose that P(A)=0.25, P(A)=0.30, P(A)=0.22, P(ANA)=0.11, P( 44) = 0.05, P(A2A3)=.07, P(A nA nA)=.01. (i) What is the probability that exactly one of the three project will be awarded? (ii) What is the probability that exactly two of the three project will be awarded?