In 1950 an experiment was done observing the time gaps betweensuccessive cars on the Arroyo Seco Freeway. The data show that thedensity function of these time gaps was given approximatelyby
p(x) =ae⁻⁰.¹²²ˣ where x is the time inseconds and a is a constant.
a) Find a.
b) Find P, the cumulative distribution function.
c) Find the median and mean time gap.