Edexcel FS2 AS 2018 June — Question 2

Exam BoardEdexcel
ModuleFS2 AS (Further Statistics 2 AS)
Year2018
SessionJune
TopicContinuous Uniform Random Variables
TypeConditional probability with uniform
  1. The continuous random variable X has probability density function
$$f ( x ) = \begin{cases} \frac { 1 } { 8 } & 1 \leqslant x \leqslant 9
0 & \text { otherwise } \end{cases}$$
  1. Write down the name given to this distribution. The continuous random variable \(Y = 5 - 2 X\)
  2. Find \(\mathrm { P } ( Y > 0 )\)
  3. Find \(\mathrm { E } ( Y )\)
  4. Find \(\mathrm { P } ( Y < 0 \mid X < 7.5 )\)
    VILU SIHI NI IIIUM ION OCVGHV SIHILNI IMAM ION OOVJYV SIHI NI JIIYM ION OC
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