Mosaic Plots, Contingency Tables, and Tree Diagrams

Front

What is a mosaic plot?

Back

A graphical representation that displays the relationship between two categorical variables, showing the proportions of each category in a visually intuitive way.

Front

Define a contingency table.

Back

A table used to display the frequency distribution of variables, showing how two categorical variables interact with each other.

Front

What is a tree diagram?

Back

A visual representation that illustrates all possible outcomes of a probability experiment, branching out from a starting point.

Front

How do you calculate conditional probability?

Back

Conditional probability is calculated using the formula P(A|B) = P(A and B) / P(B), where A is the event of interest and B is the condition.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

How do you interpret a probability of 0.5?

Back

A probability of 0.5 indicates that there is an equal chance of the event occurring or not occurring.

Front

What is the total probability rule?

Back

The total probability rule states that the total probability of an event can be found by considering all possible ways that event can occur.

Front

What is the significance of the base rate in probability?

Back

The base rate is the underlying probability of an event occurring before any additional information is considered.

Front

How do you find the probability of multiple independent events occurring?

Back

The probability of multiple independent events occurring is found by multiplying their individual probabilities together.