CAIE S1 2018 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionNovember
TopicDiscrete Probability Distributions
TypeOne unknown from sum constraint only
2 A random variable \(X\) has the probability distribution shown in the following table, where \(p\) is a constant.
\(x\)- 10124
\(\mathrm { P } ( X = x )\)\(p\)\(p\)\(2 p\)\(2 p\)0.1
  1. Find the value of \(p\).
  2. Given that \(\mathrm { E } ( X ) = 1.15\), find \(\operatorname { Var } ( X )\).
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