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UFM Statistics
Cumulative distribution functions
Q6
CAIE FP2 2018 June — Question 6
Exam Board
CAIE
Module
FP2 (Further Pure Mathematics 2)
Year
2018
Session
June
Topic
Cumulative distribution functions
Type
Interquartile range calculation
6 The continuous random variable \(X\) has distribution function given by $$\mathrm { F } ( x ) = \begin{cases} 1 - \mathrm { e } ^ { - 0.4 x } & x \geqslant 0
0 & \text { otherwise } \end{cases}$$
Find \(\mathrm { P } ( X > 2 )\).
Find the interquartile range of \(X\).
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Q11 EITHER
Q11 OR