This is part of a free course in Undergraduate Probability: https://www.math.uci.edu/~rvershyn/teaching/ugp/ugp.html
0:00 A random variable is a numeric expression of an experiment
0:31 Example: the number of heads in three coin flips
1:31 A formal definition of a random variable
1:56 Examples
3:58 Discrete random variables
4:47 The distribution of a random variable
5:59 The probability mass function (pmf)
6:32 We skip s and S from notation from now on
7:07 Let's compute pmf for the number of heads in 3 coin flips
8:57 The total sum of the values of the pmf equals 1
10:02 The pmf for the number of heads in N coin flips
