Question

2. Brantford and Hamilton (city 1 and 2) are connected by Hwy 403 and Hamilton and Niagara Falls (city 2 and 3) are connected by the QEW highway. Let A1, Bı denote the lanes going East and let A2, B2 denote the lanes going West. Suppose the probability that a lane on the 403 will not need any major repair in the next year is 80%. For the QEW, the probability is 90%. 2 90 (a) What is the probability that the 403 will need major repair in the next year? Assume that if one lane needs repair, the probability the other lane will also need repair is 3 times the original probability. [3 marks] (b) What is the probability that the QEW will need major repair in the next year? Assume that if one lane needs repair, the original probability. [3 marks] (c) If the need for repair on the 403 and QEW are independent, what is the probability that the route between Brantford and Niagara Falls will need major repair in the next year? [2 marks

Answer 1

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