Suppose the Road Transport and Safety Agency (RTSA) officers have mounted a check point and they observe the speed at which the cars pass through that check point. Assume the speeds are normally distributed such that μ = 61 km per hour and σ = 4 km per hour. (a) Calculate the probability that the next car that passes through the checkpoint will be travelling slower than 65 km per hour. (b) Calculate the probability that the next car passing will be travelling more than 66 km per hour.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose the Road Transport and Safety Agency (RTSA) officers have mounted a check point and they observe the speed at which the cars pass through that check point. Assume the speeds are normally distributed such that μ = 61 km per hour and σ = 4 km per hour. (a) Calculate the probability that the next car that passes through the checkpoint will be travelling slower than 65 km per hour. (b) Calculate the probability that the next car passing will be travelling more than 66 km per hour.
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