Edexcel Statistics S2 June 2011 Q7a,b : ExamSolutions

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Hi, please help me here. I didnt straight away realise this was symmetrical and during part b) i integrated f(x) with the limits but i get the answer of 1 not 3. I do understand i should have used this symmetry rule, but surely if i integrate i should get the same answer? maybe im doing something wrong? Thanks

jragentjr