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 3 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 nA3)=.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? Good Luck