Given the following sampling distribution: What is the mean of this sampling distribution? X -20 -9 -4 6 16 9 P(X)/25/100/100/20
Given the following sampling distribution: What is the mean of this sampling distribution? X -20 -9 -4 6 16 9 P(X)/25/100/100/20
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5a46a21-656d-42a0-a455-81d241d5836d%2Fa9991bc6-2e73-47b3-a6f9-06705ee40474%2Fh7n4wjk_processed.png&w=3840&q=75)
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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