# Exercise: continuous distributions and the Normal

24 Jun 2015

#Objective We are talking about continuous distributions and the Normal distribution. Pretty simple exercise, hoping to drive at an intuitive understanding of probability density and probability mass.

# Exercise

## Questions

1. In just a couple of sentences: Why do we say that discrete distributions have a probability mass function (pmf) and continuous distributions have a probability density function (pdf)?

Hint: think of a couple of examples we have worked on. We calculated the probability that a shooter makes exactly 6 free throws - compare this to the probability that one ant weighs exactly 3.0mg.

1. Sketch the probability density function for a $N(0,1)$ distribution. About how much probability mass falls between -2 and 1 on the horizontal axis?