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S1 Revision Notes: Discrete Random Variables

Recap: In a statistical experiment the outcome is unknown in advance. The outcome of the experiment is
called a random variable. If the experiment can result in only a fixed number of outcomes, it is called a
discrete random variable.

The outcomes of the…

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Solution
a) E(X) = (1 × 0.20) + (2 × 0.40) + (4 × 0.22) + (10 × 0.11) + (20 × 0.07) = £4.38

E(X²) = (1² × 0.20) + (2² × 0.40) + (4² × 0.22) + (10 ² × 0.11) + (20² × 0.07)
= 44.32

So…

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