Mathematics: Applications and Interpretation HL
Extended statistics and risk modelling
Sample-size planning, risk comparison, conditional expectation, and transformed random variables for AI HL.
Find sample size for a target margin of error
Use a target margin of error to estimate the required sample size.
Compare relative risk
Calculate relative risk from two event probabilities.
Use odds in context
Convert probability to odds and interpret the ratio.
Use total probability
Calculate a total probability across mutually exclusive pathways.
Calculate conditional expectation
Use conditional probabilities to calculate an expected value within a group.
Transform expected values
Use linear transformation rules for expected values.
Transform variances
Use variance transformation rules under scaling.
Use normal linear combinations
Calculate mean or standard deviation of a linear combination of normal variables.