| Exam Board | AQA |
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| Module | Further Paper 3 Statistics (Further Paper 3 Statistics) |
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| Year | 2022 |
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| Session | June |
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| Marks | 1 |
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| Topic | Continuous Probability Distributions and Random Variables |
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| Type | Calculate probability P(X in interval) |
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2 The random variable \(X\) has probability density function
$$f ( x ) = \begin{cases} 1 & 0 < x \leq \frac { 1 } { 2 }
\frac { 3 } { 8 } x ^ { - 2 } & \frac { 1 } { 2 } < x \leq \frac { 3 } { 2 }
0 & \text { otherwise } \end{cases}$$
Find \(\mathrm { P } ( X < 1 )\)
Circle your answer.
[0pt]
[1 mark]
\(\frac { 1 } { 8 }\)
\(\frac { 3 } { 8 }\)
\(\frac { 5 } { 8 }\)
\(\frac { 7 } { 8 }\)
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