OCR S1 2016 June — Question 1

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2016
SessionJune
TopicDiscrete Probability Distributions
TypeThree or more independent values
1 The table shows the probability distribution of a random variable \(X\).
\(x\)1234
\(\mathrm { P } ( X = x )\)0.10.30.40.2
  1. Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).
  2. Three values of \(X\) are chosen at random. Find the probability that \(X\) takes the value 2 at least twice.
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