Edexcel FS1 2020 June — Question 4

Exam BoardEdexcel
ModuleFS1 (Further Statistics 1)
Year2020
SessionJune
TopicDiscrete Random Variables
TypeFunctions of random variables
  1. The discrete random variable \(X\) has the following probability distribution.
\(x\)- 5- 234
\(\mathrm { P } ( X = x )\)\(\frac { 1 } { 12 }\)\(\frac { 1 } { 6 }\)\(\frac { 1 } { 4 }\)\(\frac { 1 } { 2 }\)
  1. Find \(\operatorname { Var } ( X )\) The discrete random variable \(Y\) is defined in terms of the discrete random variable \(X\)
    When \(X\) is negative, \(Y = X ^ { 2 }\)
    When \(X\) is positive, \(Y = 3 X - 2\)
  2. Find \(\mathrm { P } ( Y < 9 )\)
  3. Find \(\mathrm { E } ( X Y )\)
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