Edexcel S2 2013 January — Question 3

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2013
SessionJanuary
TopicBinomial Distribution
TypeFinding binomial parameters from properties
  1. A random variable \(X\) has the distribution \(\mathrm { B } ( 12 , p )\).
    1. Given that \(p = 0.25\) find
      1. \(\mathrm { P } ( X < 5 )\)
      2. \(\mathrm { P } ( X \geqslant 7 )\)
    2. Given that \(\mathrm { P } ( X = 0 ) = 0.05\), find the value of \(p\) to 3 decimal places.
    3. Given that the variance of \(X\) is 1.92 , find the possible values of \(p\).
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