Answered: 5.11. A point is chosen at random on a…

5.11. A point is chosen at random on a line segment of length L Interpret this statement, and find the probability that the ratio of the shorter to the longer segment is less than 1/4.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

5.11. A point is chosen at random on a line segment of length L Interpret this
statement, and find the probability that the ratio of the shorter to the longer
segment is less than 1/4.

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Expert Solution

Step 1

Given that, a point is chosen at random on a line segment of length L, we need to find the probability that the ratio of the shorter to the longer segment is less than 1/4.

Step by step

Solved in 2 steps with 1 images

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Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

How did you find the 1/5 values for each part of the integrals?

The 2/5 was highlighted as the final answer, but in the question, they asked to show that it would be less than 1/4. Is this correct?

Solution

by Bartleby Expert

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