formatting issue 38

docs/preliminaries/probabilityreview/index.html

@@ -84,7 +84,7 @@ <h1 id="1-elements-of-probability">1. Elements of probability</h1>
 
 <p><strong>Sample space</strong> Ω: The set of all the outcomes of a random experiment. Here, each outcome ω  \in  Ω can be thought of as a complete description of the state of the real world at the end of the experiment.</p>
 
-<p><strong>Set of events (or event space) F</strong>: A set whose elements A  \in  F (called events) are subsets of Ω (i.e., A ⊆ Ω is a collection of possible outcomes of an experiment)</p>
+<p><strong>Set of events (or event space) F</strong>: A set whose elements <script type="math/tex">A  \in  F</script> (called events) are subsets of Ω (i.e., A ⊆ Ω is a collection of possible outcomes of an experiment)</p>
 
 <p><strong>Probability measure</strong>: A function <script type="math/tex">P : F \rightarrow I\!R</script> that satisfies the following <strong>properties</strong></p>
 <ul>
@@ -264,7 +264,7 @@ <h3 id="continuous-case"><strong>Continuous case</strong>:</h3>
 <h2 id="26-some-common-random-variables">2.6 Some common random variables</h2>
 
 <h3 id="discrete-random-variables">Discrete random variables</h3>
-<p>• <strong><script type="math/tex">X</script> ∼ Bernoulli(p)</strong> (where 0 \leq p \leq 1): one if a coin with heads probability p comes up heads, zero otherwise.</p>
+<p>• <strong><script type="math/tex">X</script> ∼ Bernoulli(p)</strong> (where <script type="math/tex">0 \leq p \leq 1</script>): one if a coin with heads probability p comes up heads, zero otherwise.</p>
 <div class="mathblock"><script type="math/tex; mode=display">
 p(x)=\begin{cases}
 p, & \text{if $$p = 1$$}. \\

preliminaries/probabilityreview/index.md

@@ -9,7 +9,7 @@ In order to define a probability on a set we need a few basic elements,
 
 **Sample space** Ω: The set of all the outcomes of a random experiment. Here, each outcome ω  \in  Ω can be thought of as a complete description of the state of the real world at the end of the experiment.
 
-**Set of events (or event space) F**: A set whose elements A  \in  F (called events) are subsets of Ω (i.e., A ⊆ Ω is a collection of possible outcomes of an experiment)
+**Set of events (or event space) F**: A set whose elements $$A  \in  F$$ (called events) are subsets of Ω (i.e., A ⊆ Ω is a collection of possible outcomes of an experiment)
 
 **Probability measure**: A function $$P : F \rightarrow I\!R$$ that satisfies the following **properties** 
 * $$P(A) \geq 0$$, for all $$A \in F$$ 
@@ -181,7 +181,7 @@ E[g(X)] = \int^{\infty}_{-\infty} 1\{x \in A\} f_X(x) dx = \int_{x\in A} f_X(x)
 ## 2.6 Some common random variables
 
 ### Discrete random variables
-• **$$X$$ ∼ Bernoulli(p)** (where 0 \leq p \leq 1): one if a coin with heads probability p comes up heads, zero otherwise. 
+• **$$X$$ ∼ Bernoulli(p)** (where $$0 \leq p \leq 1$$): one if a coin with heads probability p comes up heads, zero otherwise. 
 {% math %}
 p(x)=\begin{cases}
 p, & \text{if $$p = 1$$}. \\