An insurance company reported that 75​% of all automobile damage claims were made by people under the age of 25. If ten automobile damage claims were selected at​ random, determine the probability that exactly two of them were made by someone under the age of 25. The probability is_.​(Type an integer or decimal rounded to five decimal places as​ needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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An insurance company reported that 
75​% of all automobile damage claims were made by people under the age of 25.

If ten automobile damage claims were selected at​ random, determine the probability that exactly two of them were made by someone under the age of 25.

The probability is_.
​(Type an integer or decimal rounded to five decimal places as​ needed.)

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