| Exam Board | CAIE |
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| Module | S2 (Statistics 2) |
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| Year | 2023 |
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| Session | June |
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| Topic | Continuous Probability Distributions and Random Variables |
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| Type | Find expectation E(X) |
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1 A random variable \(X\) has probability density function f , where
$$f ( x ) = \begin{cases} \frac { 3 } { 2 } \left( 1 - x ^ { 2 } \right) & 0 \leqslant x \leqslant 1
0 & \text { otherwise } \end{cases}$$
Find \(\mathrm { E } ( X )\).