Statistical Inference Notation Correction

Author: unknown

6_STATINFERENCE/Statistical Inference Course Notes.Rmd

@@ -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, $E[X] = p$

6_STATINFERENCE/Statistical_Inference_Course_Notes.html

@@ -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>