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The City of Calgary reports that the number of vehicles that use the Crowchild Trail bridge various on weekdays. This variation can be modeled by the Normal distribution with a mean of 107500 vehicles and a standard deviation of 8800 vehicles per day. You pick a weekday at random and set out a trafc counter on both the north-bound and south-bound lanes of the Crowchild Trail bridge. At the end of a 24-hour period, you are to download the data from the traffic counter and add the two figures to represent the total vehicle usage,X. {a} What is the probability that the total vehicle usage gure will be more than 120500 vehicles? P(X 2 120500) 2 (b) What is the probability that the total vehicle usage figure will be between 80000 and 101000? P(80000 g X 5 101000) 2 {c} Find the 91 percentile. That is, 91% of the time, the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period is at most how many? i5! vehicles (cl) 9% of the time, the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period exceeds how many? ::: vehicles