## General Probability

1.b – Calculate probabilities using addition and multiplication rules.

1.c – Define independence and calculate probabilities of independent events.

1.d – Calculate probabilities of mutually exclusive events.

1.e – Define and calculate conditional probabilities.

1.f – Calculate probabilities using combinatorics, such as combinations and permutations.

## Univariate Random Variables

2.c – Explain and calculate expected value, mode, median, percentile, and higher moments.

2.d – Explain and calculate variance, standard deviation, and coefficient of variation.

2.f – Determine the sum of independent random variables (Poisson and normal).

2.g – Apply transformations.

## Multivariate Random Variables

3.c – Calculate moments for joint, conditional, and marginal random variables.

3.d – Explain and apply joint moment generating functions.

3.e – Calculate variance, standard deviation for conditional and marginal probability distributions.

3.f – Calculate joint moments, such as the covariance and the correlation coefficient.

3.h – Calculate probabilities and moments for linear combinations of independent random variables.