Stage: 5 Challenge Level: 
You will need to find cdf = pdf = f(x) for some f(x).
What conditions must f(x) satisfy if it to to be a pdf? What conditions must it satisfy if it is to be a cdf? Why is the condition $F(x)\neq 1$ important?
For a given random variable, how are the pdf and cdf related to each other?
Stage 5 - Core Mapping. Functions and their inverses. Probability density functions. Graphs. STEM - rethink needed. Estimation of areas under curves. Maths in STEM. Statistics generally. Graph sketching. Modulus arithmetic.
Published June 2009.
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