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 0sx< 00 A transportation planner determines that the average distance between cars on a certain highway is 90 ft. What is the probability that the distance between two successive cars, chosen at random, is 15 ft or less? P(0sxs 15) = (Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)
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 0sx< 00 A transportation planner determines that the average distance between cars on a certain highway is 90 ft. What is the probability that the distance between two successive cars, chosen at random, is 15 ft or less? P(0sxs 15) = (Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![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< o0
A transportation planner determines that the average distance between cars on a certain highway is 90 ft. What is the probability that the distance between two
successive cars, chosen at random, is 15 ft or less?
P(0 <x< 15) =
(Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F865aa881-60fa-4688-8898-8c3a3611b376%2F17f9e3c9-59c8-4d1a-aa03-8ea959eb31ad%2F2b9nz0v_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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< o0
A transportation planner determines that the average distance between cars on a certain highway is 90 ft. What is the probability that the distance between two
successive cars, chosen at random, is 15 ft or less?
P(0 <x< 15) =
(Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)
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