OCR Further Statistics 2023 June — Question 6

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2023
SessionJune
TopicCumulative distribution functions
TypeCDF of transformed variable

6 The continuous random variable \(X\) has a uniform distribution on the interval \([ - \pi , \pi ]\).
The random variable \(Y\) is defined by \(Y = \sin X\).
Determine the cumulative distribution function of \(Y\).