In lecture, I indicated that the remaining sections of Lecture 28 would be taught through posted recordings, as a substitute for our lack of a lecture due to Retake AB. Well, here they are! Please watch them before the lecture following Retake AB.
First is Example 3 where we calculate the moment–generating function of a Poisson random variable, and use it to generate the first and second moment.
Next is Example 4 where we calculate the moment–generating function of a Bernoulli random variable.
Next is Example 5 where we calculate the moment–generating function of a continuous uniform random variable.
Last is Example 6 where we calculate the moment–generating function of an exponential random variable, and note that in this case the moment–generating function is not defined for all t.