What is the expected value for the number of defective LCD
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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![### Expected Value Calculation for Defective LCDs
**Question: What is the expected value for the number of defective LCDs?**
Options:
1. \(0\)
2. \(0.1\)
3. \(0.45\)
4. \(0.5\)
5. \(0.9\)
6. \(1\)
---
In this question, the expected value refers to the anticipated number of defective LCDs based on a given probability distribution. The expected value (E[X]) is a key concept in probability and statistics that provides a measure of the center of a probability distribution.
To determine the expected value, consider the following general formula for a discrete random variable \(X\):
\[ E[X] = \sum (x_i \cdot p_i) \]
Where:
- \(x_i\) represents the value of the \(i\)-th outcome.
- \(p_i\) represents the probability of the \(i\)-th outcome.
For any given context, you will need to substitute the provided or known values into the formula to compute the expected value. Ensure you have access to the necessary probabilities and outcomes specific to defective LCDs to apply this formula accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aad06c9-a061-4a71-9e2d-f01704b3cf27%2Fb97a06f9-512d-4056-9a96-7b6e73163d0c%2Fklygkgj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Expected Value Calculation for Defective LCDs
**Question: What is the expected value for the number of defective LCDs?**
Options:
1. \(0\)
2. \(0.1\)
3. \(0.45\)
4. \(0.5\)
5. \(0.9\)
6. \(1\)
---
In this question, the expected value refers to the anticipated number of defective LCDs based on a given probability distribution. The expected value (E[X]) is a key concept in probability and statistics that provides a measure of the center of a probability distribution.
To determine the expected value, consider the following general formula for a discrete random variable \(X\):
\[ E[X] = \sum (x_i \cdot p_i) \]
Where:
- \(x_i\) represents the value of the \(i\)-th outcome.
- \(p_i\) represents the probability of the \(i\)-th outcome.
For any given context, you will need to substitute the provided or known values into the formula to compute the expected value. Ensure you have access to the necessary probabilities and outcomes specific to defective LCDs to apply this formula accurately.
Transcribed Image Text:A manufacturer of liquid crystal displays (LCDs) is studying their production lines. The probability of sampling a defective LCD is 0.1. A sample of 5 LCDs is taken. You may assume that an LCD being defective is independent of any of the others being defective.
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