diff --git a/source/sec-Continuous-RVs.ptx b/source/sec-Continuous-RVs.ptx
index d3a250a..0e38ea2 100644
--- a/source/sec-Continuous-RVs.ptx
+++ b/source/sec-Continuous-RVs.ptx
@@ -302,7 +302,7 @@
-
+
A continuous random variable X taking values in [1, 4] has p.d.f.
diff --git a/source/sec-Expected-Value.ptx b/source/sec-Expected-Value.ptx
index 0c842e0..ef2e7d3 100644
--- a/source/sec-Expected-Value.ptx
+++ b/source/sec-Expected-Value.ptx
@@ -624,14 +624,14 @@
A continuous random variable X taking values in [1, 4] has p.d.f.
f(x) = k(x - \sqrt{x}) for some constant k.
- In a previous problem, you found the value of k.
+ In a previous problem (), you found the value of k.
Now, find \E(X).
- E(X) \approx 3.04.
+ \frac{258}{85} \approx 3.04.
@@ -647,7 +647,7 @@
- \frac{1}{2}\left( \ln(2) + \frac{7}{3}\right) \approx 1.513.
+ \frac{1}{2}\left( \ln(2) + \frac{7}{3}\right) \approx 1.513.
diff --git a/source/sec-Variance.ptx b/source/sec-Variance.ptx
index 5f37827..91a98dc 100644
--- a/source/sec-Variance.ptx
+++ b/source/sec-Variance.ptx
@@ -248,6 +248,12 @@
+
+
+
+ 5.76.
+
+
@@ -299,6 +305,12 @@
What is \Var(X)?
+
+
+
+ 1/18.
+
+
@@ -309,6 +321,12 @@
What is \Var(X)?
+
+
+
+ 0.6.
+
+
@@ -319,6 +337,12 @@
What is \Var(X)?
+
+
+
+ 4 - \left(\frac{4}{3}\ln(4)\right)^2 \approx 0.583.
+
+
@@ -326,10 +350,16 @@
A continuous random variable X taking values in [1, 4] has p.d.f.
f(x) = k(x - \sqrt{x}) for some constant k.
- In a previous problem, you found the value of k.
+ In a previous problem (), you found the value of k.
Now, find \Var(X).
+
+
+
+ \frac{2307}{238} - \left(\frac{258}{85}\right)^2 \approx 0.48.
+
+
@@ -340,6 +370,12 @@
Find \Var(X).
+
+
+
+ \frac{29}{24} - \frac{1}{2}\ln(2) \approx 0.862.
+
+
\ No newline at end of file