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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
10 Jan 2022

Given information

Given that, for a bull's eye in darts, the probability that a throw lands within  millimeter of the center of the dart board is given by  for 

And the average distance of his throws from the center of the dart board is given by 

 

Step-by-step explanation

Step 1.

When Darius is shooting for a bull's eye in darts, the probability that a throw lands within  millimeter of the center of the dart board is given by  for 

The average distance of his throws from the center of the dart board is given by 

This is definite integral to find average distance
Using By parts method to integrate, we get
 

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