S2.2.2 - Probability density and cumulative distribution functions

Use a probability density f(x) and cumulative distribution F(x0) = P(X ≤ x0) = ∫_{−∞}^{x0} f(x) dx, including simple piecewise polynomial densities.

Use probability density and cumulative distribution functions to connect the rule to the data and decision in the question.

This matters because probability density and cumulative distribution functions determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply probability density and cumulative distribution functions to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Probability density and cumulative distribution functions is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.