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Let the interval [?r, r] be the base of a semicircle. If a

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 14E Chapter 1.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 14E

PROBLEM 14E

Let the interval [−r, r] be the base of a semicircle. If a point is selected at random from this interval, assign a probability to the event that the length of the perpendicular segment from the point to the semicircle is less than r/2.

Step-by-Step Solution:
Step 1 of 3

 Answer:

 Step1 of 1:

              Let the interval [−r, r] be the base of a semicircle.

  

If a point is selected at random from this interval, assign a probability to the event that the length of the perpendicular segment from the point to the semicircle is less than r/2.

    Here, AB = r sin

        For AB < r/2 .

              r sin <

                sin<   

       Then, < , similarly on the other side of the y-axis .

   Therefore , for AB <

 To...

Step 2 of 3

Chapter 1.1, Problem 14E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let the interval [?r, r] be the base of a semicircle. If a

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