5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec. The road is x feet wide. A pedestrian, who walks at a speed of u feet/sec, will cross the road if and only if she is certain that no cars will cross the pedestrian crossing while she is on it. Show that the expected time until she completes the crossing is (e"/u – 1)/A.
5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec. The road is x feet wide. A pedestrian, who walks at a speed of u feet/sec, will cross the road if and only if she is certain that no cars will cross the pedestrian crossing while she is on it. Show that the expected time until she completes the crossing is (e"/u – 1)/A.
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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![5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec.
The road is x feet wide. A pedestrian, who walks at a speed of u feet/sec, will cross
the road if and only if she is certain that no cars will cross the pedestrian crossing
while she is on it. Show that the expected time until she completes the crossing is
(e"/u – 1)/A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddc259d1-4b09-4495-a448-3c6fb16949ee%2F6f28e16a-1e24-4b99-bb81-ba43defb3c8a%2Fc2vgcuxf_processed.png&w=3840&q=75)
Transcribed Image Text:5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec.
The road is x feet wide. A pedestrian, who walks at a speed of u feet/sec, will cross
the road if and only if she is certain that no cars will cross the pedestrian crossing
while she is on it. Show that the expected time until she completes the crossing is
(e"/u – 1)/A.
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