Bayes' Theorem Unit Review

According to Bayes' Theorem, P(A|B) =

• P(A and B)/[ P(A and B) + P(A' and B) ]
• P(A or B)/[ P(A or B) + P(A' or B) ]
• P(A and B)/[ P(A and B) + P(A and B') ]
• P(A and B)/[ P(A and B)  P(A' and B) ]⋅

Which of the following is a good way to visualize Bayes' Theorem?

• Two-way table
• Weighted tree
• Selection set ("Candy-bar") Diagram
• All of these

The fire alarm rings, and there is a fire. This is a...

• True Positive

• False Positive

• True Negative

• False Negative

The fire alarm rings, but there is no fire. This is a...

• True Positive

• False Positive

• True Negative

• False Negative

The fire alarm does not ring, and there is no fire. This is a...

• True Positive

• False Positive

• True Negative

• False Negative

The fire alarm does not ring, but there is a fire. This is a...

• True Positive

• False Positive

• True Negative

• False Negative

A test says you have the flu, but you really don't. This is an example of a...

• True Positive
• False Positive
• True Negative
• False Negative

A person is acquitted of a crime, but in reality they were guilty. This is an example of a...

• True Positive

• False Positive

• True Negative

• False Negative

The estimated probabilities of an Event before any new data is collected are known as _______ probabilities

• Prior
• Posterior
• Conditional
• Simple

The updated probabilities of an Event in light of newly-collected data are known as _______ probabilities

• Prior
• Posterior
• Conditional
• Simple