CAIE S1 2006 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2006
SessionNovember
TopicDiscrete Probability Distributions
TypeOne unknown from sum constraint only
2 The discrete random variable \(X\) has the following probability distribution.
\(x\)01234
\(\mathrm { P } ( X = x )\)0.26\(q\)\(3 q\)0.050.09
  1. Find the value of \(q\).
  2. Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).
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