The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 260 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? i (Round the answer to 3 decimal places.) b) What are the quartiles (the 25% and 75% values) of battery life? 25% value= minutes (Round the answer to the nearest integer.) 75% value= i minutes (Round the answer to the nearest integer.) c) What value of life in minutes is exceeded with 95% probability? i (Round the answer to the nearest
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 260 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours? i (Round the answer to 3 decimal places.) b) What are the quartiles (the 25% and 75% values) of battery life? 25% value= minutes (Round the answer to the nearest integer.) 75% value= i minutes (Round the answer to the nearest integer.) c) What value of life in minutes is exceeded with 95% probability? i (Round the answer to the nearest
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**Educational Website Content: Statistical Analysis of Laptop Battery Life**
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### Analyzing Battery Life for Laptops
The duration until needing a recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 260 minutes and a standard deviation of 50 minutes.
#### Questions and Analysis:
1. **Probability of Battery Lasting More than Four Hours:**
- **Question:** What is the probability that a battery lasts more than four hours? (Round the answer to 3 decimal places)
- **Explanation**: Determine the probability that the laptop’s battery life exceeds 240 minutes (4 hours).
2. **Quartiles of Battery Life:**
- **Question:** What are the quartiles (the 25% and 75% values) of battery life?
- **25% Value =** ____ minutes (Round the answer to the nearest integer.)
- **75% Value =** ____ minutes (Round the answer to the nearest integer.)
- **Explanation:** Compute the values below which 25% and 75% of the battery life observations fall, respectively.
3. **Battery Life Exceeding with 95% Probability:**
- **Question:** What value of life in minutes is exceeded with 95% probability? (Round the answer to the nearest integer.)
- **Explanation:** Find the value beyond which only 5% of battery lives are expected to fall.
#### Supporting Tools and Resources:
- **Statistical Tables and Charts**: Access resources to facilitate statistical calculations and interpretations.
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This section allows users to explore and understand how to apply statistical concepts to practical scenarios, like determining battery life using the properties of the normal distribution. Each question and its corresponding explanation guide the user through the analytical thinking process.
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