On average, indoor cats live to 14 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 14 Hint: Helpful videos: 2.3 b. Find the probability that an indoor cat dies when it is between 11.7 and 14.7 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: years من من Enter an integer or decimal number, accurate to at least 3 decimal places [more..]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Title: Understanding the Age of Indoor Cats**

On average, indoor cats live to 14 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let \( X \) represent the age at death of a randomly selected indoor cat. Round answers to four decimal places where possible.

1. **What is the distribution of \( X \)?**  
   \( X \sim N(14, 2.3) \)

2. **Find the probability that an indoor cat dies when it is between 11.7 and 14.7 years old.**  
   (Enter an answer accurate to at least three decimal places.)

3. **The middle 40% of indoor cats' age of death lies between what two numbers?**  
   - Low: _____ years  
   - High: _____ years

**Hint:** Consider using a normal distribution table or statistical tools for calculations.

**Helpful videos:**  
(Links to relevant educational videos)
Transcribed Image Text:**Title: Understanding the Age of Indoor Cats** On average, indoor cats live to 14 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let \( X \) represent the age at death of a randomly selected indoor cat. Round answers to four decimal places where possible. 1. **What is the distribution of \( X \)?** \( X \sim N(14, 2.3) \) 2. **Find the probability that an indoor cat dies when it is between 11.7 and 14.7 years old.** (Enter an answer accurate to at least three decimal places.) 3. **The middle 40% of indoor cats' age of death lies between what two numbers?** - Low: _____ years - High: _____ years **Hint:** Consider using a normal distribution table or statistical tools for calculations. **Helpful videos:** (Links to relevant educational videos)
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