On average, indoor cats live to 12 years old with a standard deviation of 2.7 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( b. Find the probability that an indoor cat dies when it is between 10.1 and 11.4 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years
On average, indoor cats live to 12 years old with a standard deviation of 2.7 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( b. Find the probability that an indoor cat dies when it is between 10.1 and 11.4 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years
MATLAB: An Introduction with Applications
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Please answer A, B, & C please. Thank you in advance, help is appreciated!!! :)
![**Lifespan of Indoor Cats: Statistical Analysis**
On average, indoor cats live to 12 years old with a standard deviation of 2.7 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. **Determining the Distribution of \( X \)**
What is the distribution of \( X \)?
\[ X \sim N(\text{mean}, \text{standard deviation}) \]
\[ X \sim N(\ \_\_\_\_ \ , \ \_\_\_\_ \) \]
b. **Probability Calculation**
Find the probability that an indoor cat dies when it is between 10.1 and 11.4 years old.
\[ P(10.1 < X < 11.4) = \ \_\_\_\_\_ \]
c. **Interquartile Range Calculation**
The middle 50% of indoor cats' age of death lies between what two numbers?
**Low:**
\[ \_\_\_\_\_ \ \text{years} \]
**High:**
\[ \_\_\_\_\_ \ \text{years} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26f5f585-4a53-4f63-93cf-73118a5adbf6%2F893579d2-152d-4254-94ff-1fa04e94b0ee%2Fzdedle_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:**Lifespan of Indoor Cats: Statistical Analysis**
On average, indoor cats live to 12 years old with a standard deviation of 2.7 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. **Determining the Distribution of \( X \)**
What is the distribution of \( X \)?
\[ X \sim N(\text{mean}, \text{standard deviation}) \]
\[ X \sim N(\ \_\_\_\_ \ , \ \_\_\_\_ \) \]
b. **Probability Calculation**
Find the probability that an indoor cat dies when it is between 10.1 and 11.4 years old.
\[ P(10.1 < X < 11.4) = \ \_\_\_\_\_ \]
c. **Interquartile Range Calculation**
The middle 50% of indoor cats' age of death lies between what two numbers?
**Low:**
\[ \_\_\_\_\_ \ \text{years} \]
**High:**
\[ \_\_\_\_\_ \ \text{years} \]
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