Edexcel S4 2005 June — Question 1

Exam BoardEdexcel
ModuleS4 (Statistics 4)
Year2005
SessionJune
TopicChi-squared distribution

  1. The random variable \(X\) has a \(\chi ^ { 2 }\)-distribution with 9 degrees of freedom.
    1. Find \(\mathrm { P } ( 2.088 < X < 19.023 )\).
    The random variable \(Y\) follows an \(F\)-distribution with 12 and 5 degrees of freedom.
  2. Find the upper and lower \(5 \%\) critical values for \(Y\).
    (3)
    (Total 6 marks)