IB skill practice

Use expectation and variance rules

Use linearity of expectation and variance rules for transformed or combined variables.

Paper 1, Paper 2 5 marks Difficulty 5

Use expectation and variance rules - context restriction

For a transport depot decision score, \(E(X)=25\) and \(E(Y)=7\). If \(S=2X-Y\), find \(E(S)\). Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.