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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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.
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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