some additions/corrections

Author: elmerehbi

6_STATINFERENCE/Statistical Inference Course Notes.Rmd

@@ -68,7 +68,7 @@ grid.raster(readPNG("figures/3.png"))
 ### Conditional Probability
 * let B = an event so that $P(B) > 0$
 * **conditional probability** of an event A, given B is defined as the probability that BOTH A and B occurring divided by the probability of B occurring $$P(A\:|\:B) = \frac{P(A \:\cap\: B)}{P(B)}$$
-* if A and B are ***independent***, then $$P(A\:|\:B) = \frac{P(A)P(B)}{P(A)} = P(A)$$
+* if A and B are ***independent***, then $$P(A\:|\:B) = \frac{P(A)P(B)}{P(B)} = P(A)$$
 * ***example***
 	* for die roll, $A = \{1\}$, $B = \{1, 3, 5\}$, then $$P(1~|~Odd) = P(A\:|\:B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)}{P(B)} = \frac{1/6}{3/6} = \frac{1}{3}$$
 
@@ -103,8 +103,8 @@ $\pagebreak$
 
 ### Probability Density Function (PDF)
 * evaluates the probability that the **continuous random variable** takes on a specific value 
-	* always $\ge$ everywhere
-	* total area under the must = 1
+	* always $\ge$ 0 everywhere
+	* total area under curve must = 1
 * **areas under PDFs** correspond to the probabilities for that random variable taking on that range of values (PMF)
 
 ```{r echo = FALSE, fig.width = 2, fig.height = 2, fig.align = 'center'}

8_PREDMACHLEARN/Practical Machine Learning Course Notes HTML.Rmd

@@ -277,8 +277,8 @@ grid.raster(readPNG("figures/10.png"))
 * ***considerations***
 	- must be done _without replacement_
 	- random sampling with replacement = _bootstrap_
-		+ underestimates of the error
-		+ can be corrected, but it is complicated ([0.632 Bootstrap](http://www.jstor.org/discover/10.2307/2965703?uid=2&uid=4&sid=21103054448997))
+		+ underestimates of the error, since the if we get one right and the sample appears more than once we'll get the other right
+		+ can be corrected with the ([0.632 Bootstrap](http://www.jstor.org/discover/10.2307/2965703?uid=2&uid=4&sid=21103054448997)), but it is complicated
 
 
 ### K-Fold

8_PREDMACHLEARN/Practical Machine Learning Course Notes.Rmd

@@ -278,8 +278,8 @@ grid.raster(readPNG("figures/10.png"))
 * ***considerations***
 	- must be done _without replacement_
 	- random sampling with replacement = _bootstrap_
-		+ underestimates of the error
-		+ can be corrected, but it is complicated ([0.632 Bootstrap](http://www.jstor.org/discover/10.2307/2965703?uid=2&uid=4&sid=21103054448997))
+		+ underestimates of the error, since the if we get one right and the sample appears more than once we'll get the other right
+		+ can be corrected with the ([0.632 Bootstrap](http://www.jstor.org/discover/10.2307/2965703?uid=2&uid=4&sid=21103054448997)), but it is complicated
 
 
 ### K-Fold

9_DEVDATAPROD/Developing Data Products Course Notes HTML.Rmd

@@ -590,6 +590,7 @@ mode        : selfcontained # {standalone, draft}
 * advanced HTML can be added directly to the `index.Rmd` file and most of the time it should function correctly
 * interactive element (quiz questions, rCharts, shiny apps) can be embedded into slidify documents ([demos](http://slidify.github.io/dcmeetup/demos/interactive/))
 	- quiz elements
+		+ `--- &radio` before slide content for multiple choice (make sure quiz is included in widgets)
 		+ `##` = signifies title of questions
 		+ the question can be type in plain text format
 		+ the multiple choice options are listed by number (`1. a`, `2. b`, etc.)
@@ -599,6 +600,9 @@ mode        : selfcontained # {standalone, draft}
 		+ a page like the one below will be generated when processed with slidify
 
 ```Rmd
+
+--- &radio
+
 ## Question 1
 
 What is 1 + 1?