OCR S4 2007 June — Question 3

Exam BoardOCR
ModuleS4 (Statistics 4)
Year2007
SessionJune
TopicDiscrete Random Variables
TypeJoint distribution with covariance calculation
3 The discrete random variables \(X\) and \(Y\) have the joint probability distribution given in the following table.
\(X\)
\cline { 2 - 5 } \multicolumn{1}{l}{}- 101
10.240.220.04
20.260.180.06
  1. Show that \(\operatorname { Cov } ( X , Y ) = 0\).
  2. Find the conditional distribution of \(X\) given that \(Y = 2\).
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