CAIE S1 2010 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionNovember
TopicDiscrete Probability Distributions
TypeSimple algebraic expression for P(X=x)
2 In a probability distribution the random variable \(X\) takes the value \(x\) with probability \(k x\), where \(x\) takes values \(1,2,3,4,5\) only.
  1. Draw up a probability distribution table for \(X\), in terms of \(k\), and find the value of \(k\).
  2. Find \(\mathrm { E } ( X )\).
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