Example 4.5 introduced the concept of time headway
Chapter 4, Problem 13(choose chapter or problem)
Example 4.5 introduced the concept of time headway intraffic flow and proposed a particular distribution for X 5the headway between two randomly selected consecutivecars (sec). Suppose that in a different traffic environment,the distribution of time headway has the formf(x) 5 5kx4 x . 10 x # 1a. Determine the value of k for which f (x) is a legitimatepdf.b. Obtain the cumulative distribution function.c. Use the cdf from (b) to determine the probability thatheadway exceeds 2 sec and also the probability thatheadway is between 2 and 3 sec.d. Obtain the mean value of headway and the standarddeviation of headway.e. What is the probability that headway is within 1 standarddeviation of the mean value?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer