Exploring Joint, Marginal, and Conditional Probability

The video tutorial covers basic probability concepts, focusing on categorical variables. It uses an example of an HBO survey to explain joint, marginal, and conditional probabilities, as well as the union and independence of events. The tutorial provides a comprehensive understanding of how these probabilities are calculated and interpreted.

What type of variables does the video initially focus on for probability?

• Numerical variables

• Continuous variables

• Categorical variables

• Discrete variables

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

What does dividing the raw data by the total number of observations result in?

• A conditional probability

• A joint event

• A marginal probability distribution

• A probability distribution

Tags

CCSS.HSS.ID.B.5

What is the probability of an HBO subscriber being male?

• 0.51

• 0.24

• 0.46

• 0.25

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

What is the probability of an HBO subscriber preferring Westworld?

• 0.24

• 0.51

• 0.46

• 0.25

What does the sum of all joint probabilities equal to?

• 0.25

• 0.75

• 1

• 0.5

Tags

CCSS.HSS.CP.B.7

How do you calculate the union of two events?

• Divide the joint probability by the sum of marginal probabilities

• Add the two marginal probabilities

• Subtract the joint probability from the sum of marginal probabilities

• Multiply the two marginal probabilities

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

What does a complete probability distribution sum up to?

• 0.5

• 0.25

• 0.75

• 1

Tags

CCSS.HSS.MD.A.3

What is the probability of preferring Game of Thrones given someone is female?

• 0.093

• 0.25

• 0.4444

• 0.8

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is the probability of being male if a subscriber prefers Westworld?

• 0.51

• 0.2

• 0.8

• 0.25

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

What indicates that two variables are not independent?

• Their marginal probabilities sum to one

• Their joint probability is greater than their marginal probabilities

• Their conditional probability differs from their marginal probability

• Their joint probability equals the product of their marginal probabilities

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3