2017 JJC P2 Q5
2017 JJC P2 Q5
5 marks
Prelims
IB AA SL: core and optional content
Core: expectation in terms of a. Optional: variance.
The probability distribution of a discrete random variable, X, is shown below
| \(x\) | \(1\) | \(2\) |
|---|---|---|
| \({P(X = x)}\) | \(a\) | \(b\) |
Find \(\mathrm{E}\left( X \right)\) and \(\mathrm{Var}\left( X \right)\) in terms of \(a\).[5]
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Answer:\(\mathrm E(X)=2-a\); \(\mathrm{Var}(X)=a-a^2\).
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