laptop computers Lifespans lies between what two numbers?      Low:  y

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c.  The middle 40% of laptop computers Lifespans lies between what two numbers?
     Low:  years
     High:  years

### Understanding Laptop Lifespan Distribution

**Overview:**

Laptop computers, on average, have a lifespan of 14 years with a standard deviation of 2.3 years. The lifespan of laptop computers follows a normal distribution. Let the random variable \( X \) represent the lifespan of a randomly selected laptop computer. Round all answers to four decimal places where possible.

**Questions:**

a. **What is the distribution of \( X \)?**  
   \( X \sim N(\, \_\_\_\_ \, , \, \_\_\_\_ \,) \)

b. **Find the probability that a laptop computer’s lifespan is between 13.1 and 15.6 years.**  
   \(\_\_\_\_\_\)

c. **The middle 40% of laptop computers’ lifespans lie between what two numbers?**

   - **Low:** \(\_\_\_\_\_\) years
   - **High:** \(\_\_\_\_\_\) years

This exercise involves calculating probabilities and understanding intervals in a normal distribution, a fundamental concept in statistics.
Transcribed Image Text:### Understanding Laptop Lifespan Distribution **Overview:** Laptop computers, on average, have a lifespan of 14 years with a standard deviation of 2.3 years. The lifespan of laptop computers follows a normal distribution. Let the random variable \( X \) represent the lifespan of a randomly selected laptop computer. Round all answers to four decimal places where possible. **Questions:** a. **What is the distribution of \( X \)?** \( X \sim N(\, \_\_\_\_ \, , \, \_\_\_\_ \,) \) b. **Find the probability that a laptop computer’s lifespan is between 13.1 and 15.6 years.** \(\_\_\_\_\_\) c. **The middle 40% of laptop computers’ lifespans lie between what two numbers?** - **Low:** \(\_\_\_\_\_\) years - **High:** \(\_\_\_\_\_\) years This exercise involves calculating probabilities and understanding intervals in a normal distribution, a fundamental concept in statistics.
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