CAIE S2 2019 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionJune
TopicPoisson Distribution
TypePoisson parameter from given probability
1 The random variable \(X\) has the distribution \(\operatorname { Po } ( 5 )\).
  1. Find \(\mathrm { P } ( X = 2 )\).
    It is given that \(\mathrm { P } ( X = n ) = \mathrm { P } ( X = n + 1 )\).
  2. Write down an equation in \(n\).
  3. Hence or otherwise find the value of \(n\).
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