Question: In 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Freeway.8 The data show that the density function of these time gaps was given approximately by
p(x) = ae-0.122x
where x is the time in seconds and a is a constant.
(a) Find a.
(b) Find P, the cumulative distribution function.
(c) Find the median and mean time gap.
(d) Sketch rough graphs of p and P.