CAIE S1 2012 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionNovember
TopicDiscrete Probability Distributions
TypeMultiple unknowns from expectation and variance

2 The discrete random variable \(X\) has the following probability distribution.
\(x\)- 3024
\(\mathrm { P } ( X = x )\)\(p\)\(q\)\(r\)0.4
Given that \(\mathrm { E } ( X ) = 2.3\) and \(\operatorname { Var } ( X ) = 3.01\), find the values of \(p , q\) and \(r\).