In 1950 an experiment was done observing the
time gaps between successive cars on the
Arroyo Seco Freeway. The data show that the
density function of these time gaps was given
approximately by
where is the time in seconds and
is a constant.

Find the constant .

Find the cumulative distribution function
. You should also sketch a rough
graph of density function and
the cumulative distribution function .

Find the mean and median time gap.
Mean =
Median =