A bus travels on an east-west highway connecting two cities A and B that are 100 milesapart. There are 2 services stations along the route. The first service station is located20 miles from city A, and the second service station is located 30 miles from city B. Ifthe bus breaks down at a random point along the route, find the expected value of thedistance of the bus from the nearest service station

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 15CT
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A bus travels on an east-west highway connecting two cities A and B that are 100 miles
apart. There are 2 services stations along the route. The first service station is located
20 miles from city A, and the second service station is located 30 miles from city B. If
the bus breaks down at a random point along the route,

find the expected value of the
distance of the bus from the nearest service station

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