OCR S1 2011 January — Question 7

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2011
SessionJanuary
TopicDiscrete Probability Distributions
TypeCalculate Var(X) from table
7 The probability distribution of a discrete random variable, \(X\), is shown below.
\(x\)02
\(\mathrm { P } ( X = x )\)\(a\)\(1 - a\)
  1. Find \(\mathrm { E } ( X )\) in terms of \(a\).
  2. Show that \(\operatorname { Var } ( X ) = 4 a ( 1 - a )\).
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