CAIE S2 2011 November — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2011
SessionNovember
TopicPoisson Distribution
TypeExpectation and variance of Poisson-related expressions
1 The random variable \(X\) has the distribution \(\operatorname { Po } ( 1.3 )\). The random variable \(Y\) is defined by \(Y = 2 X\).
  1. Find the mean and variance of \(Y\).
  2. Give a reason why the variable \(Y\) does not have a Poisson distribution.
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