MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Sampling Distribution** Given the following sampling distribution: A table with values: - **X**: -20, -9, -4, 6, 16 - **P(X)**: \( \frac{2}{25} \), \( \frac{9}{100} \), \( \frac{9}{100} \), \( \frac{1}{4} \), \( \frac{1}{20} \) **Question:** What is the mean of this sampling distribution? **Explanation:** To find the mean of a sampling distribution, you multiply each outcome (\(X\)) by its probability (\(P(X)\)) and then sum these products. The formula for the mean (\(\mu\)) is: \[ \mu = \sum [X \cdot P(X)] \] Calculate each product, then sum them to find the mean.
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Transcribed Image Text:**Sampling Distribution** Given the following sampling distribution: A table with values: - **X**: -20, -9, -4, 6, 16 - **P(X)**: \( \frac{2}{25} \), \( \frac{9}{100} \), \( \frac{9}{100} \), \( \frac{1}{4} \), \( \frac{1}{20} \) **Question:** What is the mean of this sampling distribution? **Explanation:** To find the mean of a sampling distribution, you multiply each outcome (\(X\)) by its probability (\(P(X)\)) and then sum these products. The formula for the mean (\(\mu\)) is: \[ \mu = \sum [X \cdot P(X)] \] Calculate each product, then sum them to find the mean.
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