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Probability: Difference between revisions
→Total Variance
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This one is not used as often on tests as total expectation | This one is not used as often on tests as total expectation | ||
{{hidden | Proof | | {{hidden | Proof | | ||
}} | |||
===Sample Mean and Variance=== | ===Sample Mean and Variance=== | ||
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* <math>\bar{X} \sim N(\mu, \sigma^2 / n)</math> | * <math>\bar{X} \sim N(\mu, \sigma^2 / n)</math> | ||
* <math>(n-1)S^2 / \sigma^2 \sim \chi^2(n-1)</math> | * <math>(n-1)S^2 / \sigma^2 \sim \chi^2(n-1)</math> | ||
==Moments and Moment Generating Functions== | ==Moments and Moment Generating Functions== | ||