OCR MEI Paper 2 2022 June — Question 5

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2022
SessionJune
TopicProof

5 Tom conjectures that if \(n\) is an odd number greater than 1 , then \(2 ^ { n } - 1\) is prime.
Find a counter example to disprove Tom's conjecture.
\(6 X\) is a continuous random variable such that \(X \sim \mathrm {~N} \left( \mu , \sigma ^ { 2 } \right)\).
On the sketch of this Normal distribution in the Printed Answer Booklet, shade the area bounded by the curve, the \(x\)-axis and the lines \(x = \mu \pm \sigma\).