The distance x, in feet, between successive cars on a

Last updated: 7/4/2022

The distance x, in feet, between successive cars on a certain stretch of highway has the following probability density function, where k = 1/a and a is the average distance, in feet, between successive cars over some period of time. f(x)=ke-kx, for 0 ≤ x <∞ A transportation planner determines that the average distance between cars on a certain highway is 130 ft. What is the probability that the distance between two successive cars, chosen at random, is 45 ft or less? P(0≤x≤45)= (Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)