Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed that free-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean and standard deviation 119 km/h and 13.1 km/h, respectively. 1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h? 2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of 100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form of R functions or as PDF/CDF of statistical distributions with correct arguments.
Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed that free-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean and standard deviation 119 km/h and 13.1 km/h, respectively. 1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h? 2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of 100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form of R functions or as PDF/CDF of statistical distributions with correct arguments.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed that
free-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean and
standard deviation 119 km/h and 13.1 km/h, respectively.
1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h?
2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of
100 Km/h?
You can use the Z table for calculating the final answer. You can also write your final answer in form of
R functions or as PDF/CDF of statistical distributions with correct arguments.
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