Lecture 2 - Bayes theorem

Question 1

Identify

In statistics and probability theory, the ? (also known as the ??) is a mathematical formula used to determine the conditional probability of events.

2 words

Answer 1

• Bayes’ theorem
• Bayes’ rule

Question 2

Fill in the blanks

Essentially, the ? describes the probability of an event based on prior knowledge of the conditions that might be relevant to the event.

2 words

Answer 2

Bayes’ theorem

Question 3

Fill in the blanks

The theorem is named after English statistician, ?, who discovered the formula in ??.

2 words and 1 year

What is Bayes’ theorem?

Answer 3

• Thomas Bayes
• 1763

Question 4

Fill in the blanks

It is considered the foundation of the special statistical inference approach called the ?.

2 words

What is Bayes’ theorem?

Answer 4

Bayes’ inference

Question 5

Identify

? is used to determine the conditional probability of event A when event B has already occurred.

2 words

Formula and Explanation

Answer 5

Bayes’ theorem

Question 6

Enumerate

(6) Theorems in real life are:

Real-world examples

Answer 6

• Spam Filtering
• Weather Forecasting
• DNA Testing
• Financial Forecasting
• Fault Diagnosis in Engineering
• Drug Testing

Question 7

Enumerate

(6) Theorems in real life are:

Real-world examples

Answer 7

• Spam Filtering
• Weather Forecasting
• DNA Testing
• Financial Forecasting
• Fault Diagnosis in Engineering
• Drug Testing