2. Suppose you are planning to build a fence for your backyard. You have a long piece of land with a fixed length L. You want to place two fence posts on opposite sides of the midpoint of the land. The positions of the fence posts are chosen randomly, such that one post is uniformly distributed over the first half of the land, and the other post is uniformly distributed over the second half of the land. What is the probability that the distance between the two fence posts is greater than one-third of the total length of the land? (Assume that placing one fence is independent of the other)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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2. Suppose you are planning to build a fence for your backyard. You have a long piece of
land with a fixed length L. You want to place two fence posts on opposite sides of the
midpoint of the land. The positions of the fence posts are chosen randomly, such that
one post is uniformly distributed over the first half of the land, and the other post is
uniformly distributed over the second half of the land. What is the probability that
the distance between the two fence posts is greater than one-third of the total length
of the land?
(Assume that placing one fence is independent of the other)
Transcribed Image Text:2. Suppose you are planning to build a fence for your backyard. You have a long piece of land with a fixed length L. You want to place two fence posts on opposite sides of the midpoint of the land. The positions of the fence posts are chosen randomly, such that one post is uniformly distributed over the first half of the land, and the other post is uniformly distributed over the second half of the land. What is the probability that the distance between the two fence posts is greater than one-third of the total length of the land? (Assume that placing one fence is independent of the other)
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