In 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Freeway. data show that the density function of these time gaps was given approximately by -0.124t f(t) = ae where t is the time in seconds and a is a constant. a. Find the constant a. a = b. Find the probability distribution function F(t). F(t) = c. Find the expected value (mean) and median time gap. Expected Value = Median = Recall : m is the median if F(m) = 0.5

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