The article A Model of Pedestrians Waiting Timesfor Street
Chapter 4, Problem 16(choose chapter or problem)
The article A Model of Pedestrians Waiting Timesfor Street Crossings at Signalized Intersections(Transportation Research, 2013: 1728) suggested thatunder some circumstances the distribution of waitingtime X could be modeled with the following pdf:f(x; u, t) 5 5ut (1 2 xyt)u21 0 # x , t0 otherwisea. Graph f (x; u, 80) for the three cases u 5 4, 1, and .5(these graphs appear in the cited article) and commenton their shapes.b. Obtain the cumulative distribution function of X.c. Obtain an expression for the median of the waitingtime distribution.d. For the case u 5 4, t 5 80, calculate P(50 # X # 70)without at this point doing any additional integration
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