CAIE S1 2002 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2002
SessionNovember
TopicDiscrete Probability Distributions
TypeTwo unknowns from sum and expectation
1 The discrete random variable \(X\) has the following probability distribution.
\(x\)1357
\(\mathrm { P } ( X = x )\)0.3\(a\)\(b\)0.25
  1. Write down an equation satisfied by \(a\) and \(b\).
  2. Given that \(\mathrm { E } ( X ) = 4\), find \(a\) and \(b\).
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