CAIE S1 2017 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2017
SessionNovember
TopicDiscrete Probability Distributions
TypeTwo unknowns from sum and expectation
1 The discrete random variable \(X\) has the following probability distribution.
\(x\)1236
\(\mathrm { P } ( X = x )\)0.15\(p\)0.4\(q\)
Given that \(\mathrm { E } ( X ) = 3.05\), find the values of \(p\) and \(q\).
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