- Find the moment generating function for a \(\text{Bernoulli}(p)\) random variable.
- Recalling thatĀ if \(X\) is distributed at \(Binomial(n,p)\) it can be written as the sum of appropriate Bernoulli random variables, find theĀ moment generating function for \(X\).
- Use the solution to the previous question to find the variance of \(X\). Show your work !