Edexcel S1 2002 November — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2002
SessionNovember
TopicDiscrete Probability Distributions
TypeTwo unknowns from sum and expectation
6. The discrete random variable \(X\) has the following probability distribution.
\(x\)- 2- 1012
\(\mathrm { P } ( X = x )\)\(\alpha\)0.20.10.2\(\beta\)
  1. Given that \(\mathrm { E } ( X ) = - 0.2\), find the value of \(\alpha\) and the value of \(\beta\).
  2. Write down \(\mathrm { F } ( 0.8 )\).
  3. Evaluate \(\operatorname { Var } ( X )\). Find the value of
  4. \(\mathrm { E } ( 3 X - 2 )\),
  5. \(\operatorname { Var } ( 2 X + 6 )\).
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