Edexcel FS1 2022 June — Question 2

Exam BoardEdexcel
ModuleFS1 (Further Statistics 1)
Year2022
SessionJune
TopicDiscrete Random Variables
TypeProbability distributions with parameters
  1. The discrete random variable \(X\) has probability distribution
\(x\)- 5- 105\(b\)
\(\mathrm { P } ( X = x )\)0.30.250.10.150.2
where \(b\) is a constant and \(b > 5\)
  1. Find \(\mathrm { E } ( X )\) in terms of \(b\) Given that \(\operatorname { Var } ( X ) = 34.26\)
  2. find the value of \(b\)
  3. Find \(\mathrm { P } \left( X ^ { 2 } < 2 - 3 X \right)\)
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