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

ISBN: 9780321923271 41

## Solution for problem 14E Chapter 1.1

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

Step 3 of 3

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

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