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The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed with mean 123 km/h and standard deviation 5 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed? (b) If police are instructed to ticket motorists driving 135 km/h or more, what percentage of motorist are targeted?

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Let X denote the speed of a vehicle, X ~ N(p 123 ,0-5) The legal speed is 110 km/h or less, so the probability that a randomly chosen vehicle is travelling at legal speed is a) 13) 0.0047 123 110-123 b) If motorists travelling at 135 km/h are subject to get tickets then the percentage of target motorists is X-123 135-123 1x100%-1-喂):100% Plx2 135] × 100%-p × 100% = 1-01 × 100% = 0.82%

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