Sums of Discrete Random Variables
1. [Exercise 5.2.2] Let
,
, ...,
denote the outcomes when rolling
n
fair dice. Let
+
... +
equal the sum of these
n
rolls. Use animation to plot probability histograms for the distribution of
.
Solution
2. Let
,
, ...,
denote the outcomes when rolling
n
fair
m
-sided dice. Let
+
... +
equal the sum of these
n
rolls. Use animation to plot probability histograms for the distribution of
. Superimpose an approximating normal p.d.f.
Solution