The article "A Model of Pedestrians' Waiting Times for Street Crossings at Signalized Intersections"

(Transportation Research, 2013: 17-28) suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf:

a. Graph f (x; θ, 80) for the three cases θ = 4, 1, and .5 (these graphs appear in the cited article) and comment on their shapes.
b. Obtain the cumulative distribution function of X.
c. Obtain an expression for the median of the waiting time distribution.

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otherwise