OCR Further Statistics 2018 September — Question 3

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2018
SessionSeptember
TopicCentral limit theorem

3 A discrete random variable \(X\) has the distribution \(\mathrm { U } ( 11 )\).
The mean of 50 observations of \(X\) is denoted by \(\bar { X }\).
Use an approximate method, which should be justified, to find \(\mathrm { P } ( \bar { X } \leqslant 6.10 )\).