Question

6. Consider two possible networks for connecting points X and Y: a1 bi Л. C) b2 a2 Network 1 Network 2 and let A : Event that switch ai įs closed. A2Event that switch a2 is closed. Bi : Event that switch bi s closed B2 Event that switch b is closed We are given that P(A) = 0.8,P(A2) = 0.8, and that the events A1 and A2 are independent. Similarly, we are given that P(B) = 0.9. P(B) = 0.9 and that P(BIB) = 1.0. (a) Determine the network which provides a higher probability of having at least one connection between X and Y. Be sure to justify your answer (b) Determine the network which provides a higher probability of having two connections between X and Y. Be sure to justify your answer.

Answer 1