Commit c6d9b03e authored by Robert Ricci's avatar Robert Ricci

Almost done with lecture 10 notes

parent 1229f9f1
...@@ -33,6 +33,7 @@ ...@@ -33,6 +33,7 @@
\2 \textit{Why do we consider our measurements random variables?} \2 \textit{Why do we consider our measurements random variables?}
\2 CDF vs. PDF vs. PMF \2 CDF vs. PDF vs. PMF
\2 \textit{How do we calculate probability a value will be within a range?} \2 \textit{How do we calculate probability a value will be within a range?}
\3 Integral (CDF) at point $b$, minus integral at point $a$
\1 Important probability concept: Expectation \1 Important probability concept: Expectation
\2 ``The value you can expect to get'' \2 ``The value you can expect to get''
...@@ -44,11 +45,12 @@ ...@@ -44,11 +45,12 @@
\2 $E[XY]$ is expected value of $X * Y$ \2 $E[XY]$ is expected value of $X * Y$
\2 Linearity of expectation \2 Linearity of expectation
\1 Mean, median, mode \1 Mean, median, mode
\2 \textit{When to use each} \2 \textit{When to use each}
\2 Categorical: mode, total: mean, skewed: median, else: mean \2 Categorical: mode, total: mean, skewed: median, else: mean
\2 Additive (arithmetic), multiplicative (geometric), harmonic \2 Additive (arithmetic), multiplicative (geometric), harmonic
\2 Mistakes with means: large range, skewness, multiplying when not
independent, ratio with different bases
\1 Covariance \1 Covariance
\2 Measure whether two random variables vary together \2 Measure whether two random variables vary together
......
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