Unit 7: Random Variables and their PDFs Main Concepts | Demonstration | Teaching Tips | Data Analysis & Activity | Practice Questions | Connections | Fathom Tutorial | Milestone
 Connections • Probability This unit centers around probability and, like the previous unit, it stresses the importance of how the probabilities associated with values in a random experiment (which we model using pdfs in this unit) differ from the relative frequencies of values found within populations (which we’ve modeled using mathematical functions in previous units). Simulating probabilities is also a very powerful tool and is referenced briefly in this unit. The following unit will expand more on this topic. • Models Many probability models are referenced in this unit, but a lot of the examples you might use will refer back to the normal model in particular. This model will continuously be referenced in future units. As discussed in earlier units, one can identify what distribution is appropriate to model a situation by describing distributional characteristics such as the shape, center and spread. • Inference As referenced in the previous unit, modeling probabilities is a key piece to statistical inference to determine whether a sample statistic is typical or unusual under the assumption of a particular model. This unit attempts to make this connection more clear and in future units, this point will be even more explicit.