Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50, and M = 28. What is the mean of X? Do not round!
Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50, and M = 28. What is the mean of X? Do not round!
MATLAB: An Introduction with Applications
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Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50, and M = 28.
What is the mean of X?
Do not round!
![**Understanding Hypergeometric Distributions**
In this example, we are tasked with finding the mean of a random variable \( X \) that follows a hypergeometric distribution. The parameters for this distribution are:
- \( n = 36 \) (the number of draws),
- \( N = 50 \) (the population size),
- \( M = 28 \) (the number of success states in the population).
**Question: What is the mean of \( X \)?**
*Important Note:*
- Do not round your answer.
For educational purposes, remember that the mean of a hypergeometric distribution is calculated using the formula:
\[ \text{Mean} = n \cdot \frac{M}{N} \]
To find the mean, substitute the given values into the formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea1167bf-2867-4249-8be3-5eefd73abe81%2Ff9c9a347-ea8f-439e-8a03-11b92cd493dc%2Feewyj8_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Hypergeometric Distributions**
In this example, we are tasked with finding the mean of a random variable \( X \) that follows a hypergeometric distribution. The parameters for this distribution are:
- \( n = 36 \) (the number of draws),
- \( N = 50 \) (the population size),
- \( M = 28 \) (the number of success states in the population).
**Question: What is the mean of \( X \)?**
*Important Note:*
- Do not round your answer.
For educational purposes, remember that the mean of a hypergeometric distribution is calculated using the formula:
\[ \text{Mean} = n \cdot \frac{M}{N} \]
To find the mean, substitute the given values into the formula.
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