OCR S1 2007 January — Question 9

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2007
SessionJanuary
TopicBinomial Distribution
TypeFinding binomial parameters from properties

9 A variable \(X\) has the distribution \(\mathrm { B } ( 11 , p )\).
  1. Given that \(p = \frac { 3 } { 4 }\), find \(\mathrm { P } ( X = 5 )\).
  2. Given that \(\mathrm { P } ( X = 0 ) = 0.05\), find \(p\).
  3. Given that \(\operatorname { Var } ( X ) = 1.76\), find the two possible values of \(p\).