start 1-1 0 From historical records, we have good estimations of the link travel times: 10, 12, 13, 4, and 16 minutes, respectively for each link -1,2,...,5. The covariance matrix is also known: 1. 0. 0. 0. 0. 0. 12.96 9.83 0. 0. 0. 0.83 15.21 0.62 0. 0. 0. 0.62 0.16 0. 0. 0. 0. 0. 1. a) Explain how to use the central limit theorem to answer questions b), c) and d) below. What is the fastest route from A to B in terms of the expected travel time? What is the probability that route A D B is faster than A CB? What is the probability that route A D B is faster than A CD B? Question 3. In the transportation network below, let X, the travel time on link i = 1, 2,...,5 3 2 start A + D B i=1 From historical records, we have good estimations of the link travel times: 10, 12, 13, 4, and 16 minutes, respectively for each link i = 1, 2,...,5. The covariance matrix is also known: 1. 0. 0. 12.96 9.83 0. 0. 0. 0. 0. 0. 9.83 15.21 0.62 0. 0. 0. 0.62 0.16 0. 0. 0. 0. 0. 1. a) Explain how to use the central limit theorem to answer questions b), c) and d) below. b) What is the fastest route from A to B in terms of the expected travel time? c) What is the probability that route A D B is faster than A C B? d) What is the probability that route A D B is faster than A C D B