QUESTION 7 6.25 points Save Answer A traffic network is shown in the figure belo

Question

QUESTION 7 6.25 points Save Answer A traffic network is shown in the figure below. The reliability (probability of free-flowing without congestion) of link B is 0.75, link D is 0.80, and link E is 0.85; these are all statistically independent of each other and of other links in the network. The overall reliability of Link A is 0.65. However, if A is congested, then the reliability of C is 0.4, whereas if A is not congested, C has a reliability of 0.7. 1 Find the probability of vehicles being able to travel freely from point 1 to point 2 Enter your answer to three decimal places QUESTION 8 6.25 points Save Answer Continuing with the traffic question, if vehicles can travel freely, what is the probability that A is congested? Enter your answer to three decimal places (0.XXx)

Explanation / Answer

P(able to travel freely)=P(AB works)+P(CDE works)-P(AB and CDE works)

=0.65*0.75+(0.65*0.7+0.35*0.4)*0.8*0.85-(0.65*0.75*0.7*0.8*0.85)=0.660 ( please try 0.695 if this comes out wrong and revert)

8)

P(A congested|able to travel freely)=(0.4*0.8*0.85)/0.660=0.412 ( please try 0.391 if this comes wrong and revert)

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