In the first half of the semester in the Probability course I am taking we learned (among other things) how to, given the probability distribution function for any distribution, derive, if possible, the:

- Commulative Distribution Function
- Population Mean
- Population Variance
- Population Standard Deviation
- Population Median
- Population Mode
- Moment Generating Function

Everyone seems to be excited about the second half of the semester when we will start building on this foundation.