Edexcel FS2 AS 2024 June — Question 4

Exam BoardEdexcel
ModuleFS2 AS (Further Statistics 2 AS)
Year2024
SessionJune
TopicContinuous Uniform Random Variables
TypeP(g(X) > c) using inverse transformation
  1. The continuous random variable \(X\) is uniformly distributed over the interval [2, 7]
    1. Write down the value of \(\mathrm { E } ( X )\)
    2. Find \(\mathrm { P } ( 1 < X < 4 )\)
    3. Find \(\mathrm { P } \left( 2 X ^ { 2 } - 15 X + 27 > 0 \right)\)
    4. Find \(\mathrm { E } \left( \frac { 3 } { X ^ { 2 } } \right)\)
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