OCR Further Statistics AS 2021 November — Question 4

Exam BoardOCR
ModuleFurther Statistics AS (Further Statistics AS)
Year2021
SessionNovember
TopicBinomial Distribution
TypeFinding binomial parameters from properties

4 Two random variables \(X\) and \(Y\) have the distributions \(\mathrm { B } ( m , p )\) and \(\mathrm { B } ( n , p )\) respectively, where \(p > 0\). It is known that
  • \(\mathrm { E } ( Y ) = 2 \mathrm { E } ( X )\)
  • \(\operatorname { Var } ( Y ) = 1.2 \mathrm { E } ( X )\).
Determine the value of \(p\).