Twenty-three percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for wor and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ= (Round to the nearest hundredth as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Educational Website Content

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### Understanding Binomial Distribution

**Scenario:**
Twenty-three percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping.

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### Calculating the Mean of a Binomial Distribution

To find the mean (µ) of the binomial distribution, use the following formula:

\[ \mu = n \times p \]

Where:
- \( n \) is the number of trials (in this case, 4 employees).
- \( p \) is the probability of success on an individual trial (in this case, 0.23 or 23%).

**Task:**
Find the mean of the binomial distribution. Round to the nearest hundredth as needed.

\[ \mu = \_\_\_\_ \]

(Enter your answer in the box provided.)

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### Explanation of Graphs or Diagrams
There are no graphs or diagrams included in this content. It solely presents a scenario and guides on calculating the mean of a binomial distribution.

--- 

This content is structured to help students understand how to apply the formula for the mean of a binomial distribution in a real-world context.
Transcribed Image Text:### Educational Website Content --- ### Understanding Binomial Distribution **Scenario:** Twenty-three percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. --- ### Calculating the Mean of a Binomial Distribution To find the mean (µ) of the binomial distribution, use the following formula: \[ \mu = n \times p \] Where: - \( n \) is the number of trials (in this case, 4 employees). - \( p \) is the probability of success on an individual trial (in this case, 0.23 or 23%). **Task:** Find the mean of the binomial distribution. Round to the nearest hundredth as needed. \[ \mu = \_\_\_\_ \] (Enter your answer in the box provided.) --- ### Explanation of Graphs or Diagrams There are no graphs or diagrams included in this content. It solely presents a scenario and guides on calculating the mean of a binomial distribution. --- This content is structured to help students understand how to apply the formula for the mean of a binomial distribution in a real-world context.
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