Suppose an Insurance company reports that approximately 65% of all automobile damage liability claims were made by people under 25 years of age. A random sample of six automobile insurance liability claims is under study. Find the mean of the probability distribution. Round your answer to two decimal places.

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### Probability and Statistics Problem: Automobile Damage Liability Claims

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**Problem Statement:**

Suppose an insurance company reports that approximately 65% of all automobile damage liability claims were made by people under 25 years of age. A random sample of six automobile insurance liability claims is under study. Find the mean \( \mu \) of the probability distribution. Round your answer to two decimal places. 

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**Answer Choices:**

- \( \mu = 1.17 \)
- \( \mu = 3.90 \)
- \( \mu = 2.10 \)
- \( \mu = 5.00 \)
- \( \mu = 2.29 \)
Transcribed Image Text:### Probability and Statistics Problem: Automobile Damage Liability Claims --- **Problem Statement:** Suppose an insurance company reports that approximately 65% of all automobile damage liability claims were made by people under 25 years of age. A random sample of six automobile insurance liability claims is under study. Find the mean \( \mu \) of the probability distribution. Round your answer to two decimal places. --- **Answer Choices:** - \( \mu = 1.17 \) - \( \mu = 3.90 \) - \( \mu = 2.10 \) - \( \mu = 5.00 \) - \( \mu = 2.29 \)
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