Random Variables

MA-S3 is worth about 10 marks out of 100 in recent HSC Mathematics Advanced papers. Practise 48 exam-style questions (multiple choice, numerical answer, multi-part) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

A discrete random variable $X$ has $P (X = 0) = 0.2$ , $P (X = 1) = 0.5$ and $P (X = 2) = 0.3$ . What is $E (X)$ ?

A1
B1.1
C1.5
D0.9

Example 2 · 1 mark · multiple choice

A continuous random variable has probability density function $f (x) = k x^{2}$ for $0 \leq x \leq 3$ , and $0$ otherwise. What is $k$ ?

A $\frac{1}{27}$
B $\frac{1}{9}$
C $\frac{1}{3}$
D $9$

Example 3 · 4 marks · multi-part

A continuous random variable $X$ has probability density function $f (x) = k x$ for $0 \leq x \leq 2$ , and $f (x) = 0$ otherwise.

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Random Variables

Example questions

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