Edexcel FS1 2019 June — Question 6

Exam BoardEdexcel
ModuleFS1 (Further Statistics 1)
Year2019
SessionJune
TopicProbability Generating Functions
TypeGiven PGF manipulation and properties
  1. The discrete random variable \(X\) has probability generating function
$$\mathrm { G } _ { X } ( t ) = k \ln \left( \frac { 2 } { 2 - t } \right)$$ where \(k\) is a constant.
  1. Find the exact value of \(k\)
  2. Find the exact value of \(\operatorname { Var } ( X )\)
  3. Find \(\mathrm { P } ( X = 3 )\)
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