Distributions that tell us which values appear in the data and how often those data appear.

These are two types of numerical outcomes.

The amount of rain in next rainstorm.

Can't be put in a table, because there are
infinitely many values. (But we can make
tables of just a few of the values). Graphically, represented as areas under curves. Mathematically, given by integrals of equations.

Consider the experiment where three marbles are drawn without replacement from a bag containing 20 red and 40 blue marbles, and the number of red marbles drawn is recorded.

A type of variable measured in counts.

Three ways in which discrete probability distributions can be modeled.

The number of days of recordable rain this year

An idealized distribution. If it is close to our observed sample distribution, we can use it to reach some useful generalizations.

Flipping a coin until you see 3 heads.

This type of distribution has these characteristics:
It consists of a fixed number of trials.
Each trial has a random outcome, and only two outcomes are possible: success or failure.
The probability of a success is the same for every trial.
Each trial is independent of the others.

Short hand notation for a normal model with a mean of 12 and a standard deviation of 3.

Z is the number of cars owned by a randomly chosen pop singer.

The pattern that models the bell-curve distribution.

Basketball player shoots three baskets in a row with the probability of success being 80%

The letter that represents the number of fixed trials in a binomial distribution.

If we know that about 58% are shorter than 65
inches, what percent are taller than 65 inches in a normal model?

The combined weight of all the utensils in a randomly chosen kitchen.

An idealization that captures important
aspects of something we wish to study. Normal ones do not exist in the real world but they are a useful way of thinking about the real world (and we can get a pretty good approximation of the
ideal using computer simulations.

A fair six-sided die is rolled ten times, and the number of 6's is recorded.

The letter that represents the probability of a success for a trial.

If women's heights are N(64.4, 2.9), what percent are
between 60 and 66 inches?

Suppose you decide to play the 1$ 'scratcher' once per day, every day, until you win. The number of days that it takes you is this type of variable.

This determines the location of the center of
the distribution and this determines the spread of the distribution. (TWO ANSWERS!)

Data collected from a website shows that 39% of visitors use internet explorer and we randomly select 6 visitors.