On average, indoor cats live to 12 years old with a standard deviation of 2.4 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 9.8 and 10.8 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years
On average, indoor cats live to 12 years old with a standard deviation of 2.4 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 9.8 and 10.8 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Understanding the Distribution of Indoor Cats' Lifespan**
On average, indoor cats live to 12 years old with a standard deviation of 2.4 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.
### Tasks:
**a. Determine the Distribution of \( X \):**
What is the distribution of \( X \)? Express \( X \) as:
\[ X \sim N(\text{mean}, \text{standard deviation}) \]
- Mean: \(\_\_\_\_\_\_\_\_\_\_\)
- Standard Deviation: \(\_\_\_\_\_\_\_\_\_\_\)
**b. Probability Calculation:**
Find the probability that an indoor cat dies when it is between 9.8 and 10.8 years old.
\[ \_\_\_\_\_\_\_\_\_ \]
**c. Percentile Range:**
The middle 50% of indoor cats' age of death lies between which two numbers?
- Low: \(\_\_\_\_\_\_\_\_\_ \) years
- High: \(\_\_\_\_\_\_\_\_\_ \) years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4cbdcd8-71de-429b-b001-27d54b327ca5%2Fb42372db-8354-4108-9256-8e3359e54a71%2Fkdx2rk9_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding the Distribution of Indoor Cats' Lifespan**
On average, indoor cats live to 12 years old with a standard deviation of 2.4 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.
### Tasks:
**a. Determine the Distribution of \( X \):**
What is the distribution of \( X \)? Express \( X \) as:
\[ X \sim N(\text{mean}, \text{standard deviation}) \]
- Mean: \(\_\_\_\_\_\_\_\_\_\_\)
- Standard Deviation: \(\_\_\_\_\_\_\_\_\_\_\)
**b. Probability Calculation:**
Find the probability that an indoor cat dies when it is between 9.8 and 10.8 years old.
\[ \_\_\_\_\_\_\_\_\_ \]
**c. Percentile Range:**
The middle 50% of indoor cats' age of death lies between which two numbers?
- Low: \(\_\_\_\_\_\_\_\_\_ \) years
- High: \(\_\_\_\_\_\_\_\_\_ \) years
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