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Statistical Inference Notation Correction #5

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Apr 20, 2015
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Statistical Inference Notation Correction #5

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Statistical Inference Notation Correction
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unknown committed Apr 20, 2015
commit 66b1aa204a50d3ad939552ff4c49b24bea96ffc8
2 changes: 1 addition & 1 deletion 6_STATINFERENCE/Statistical Inference Course Notes.Rmd
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Expand Up @@ -310,7 +310,7 @@ ggplot(dat, aes(x = x, y = y, color = factor)) + geom_line(size = 2)
* **standard deviation** $= \sqrt{Var(X)}$ --> has same units as X
* ***example***
* for die roll, $E[X] = 3.5$
* $E[X^2] = 12 \times 1/6 + 22 \times 1/6 + 32 \times 1/6 + . + 62 \times 1/6 = 15.17$
* $E[X^2] = 1^2 \times 1/6 + 2^2 \times 1/6 + 3^2 \times 1/6 + 4^2 \times 1/6 + 5^2 \times 1/6 + 6^2 \times 1/6 = 15.17$
* $Var(X) = E[X^2] - E[X]^2 \approx 2.92$
* ***example***
* for coin flip, $E[X] = p$
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2 changes: 1 addition & 1 deletion 6_STATINFERENCE/Statistical_Inference_Course_Notes.html
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Expand Up @@ -528,7 +528,7 @@ <h2>Variance</h2>
<li><strong><em>example</em></strong>
<ul>
<li>for die roll, <span class="math">\(E[X] = 3.5\)</span></li>
<li><span class="math">\(E[X^2] = 12 \times 1/6 + 22 \times 1/6 + 32 \times 1/6 + . + 62 \times 1/6 = 15.17\)</span></li>
<li><span class="math">\(E[X^2] = 1^2 \times 1/6 + 2^2 \times 1/6 + 3^2 \times 1/6 + 4^2 \times 1/6 + 5^2 \times 1/6 + 6^2 \times 1/6 = 15.17\)</span></li>
<li><span class="math">\(Var(X) = E[X^2] - E[X]^2 \approx 2.92\)</span></li>
</ul></li>
<li><strong><em>example</em></strong>
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