OCR S4 2016 June — Question 3

Exam BoardOCR
ModuleS4 (Statistics 4)
Year2016
SessionJune
TopicDiscrete Random Variables
TypeJoint distribution with covariance calculation
3 The table shows the joint probability distribution of two random variables \(X\) and \(Y\).
\cline { 2 - 5 } \multicolumn{2}{c|}{}\(Y\)
\cline { 2 - 5 } \multicolumn{2}{c|}{}012
\multirow{3}{*}{\(X\)}00.070.070.16
\cline { 2 - 5 }10.060.090.15
\cline { 2 - 5 }20.070.140.19
  1. Find \(\operatorname { Cov } ( X , Y )\).
  2. Are \(X\) and \(Y\) independent? Give a reason for your answer.
  3. Find \(\mathrm { P } ( X = 1 \mid X Y = 2 )\).
This paper (7 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7