CAIE S1 2003 November — Question 8

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2003
SessionNovember
TopicDiscrete Probability Distributions
TypeProbabilities in table form with k
8 A discrete random variable \(X\) has the following probability distribution.
\(x\)1234
\(\mathrm { P } ( X = x )\)\(3 c\)\(4 c\)\(5 c\)\(6 c\)
  1. Find the value of the constant \(c\).
  2. Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).
  3. Find \(\mathrm { P } ( X > \mathrm { E } ( X ) )\).
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