| Exam Board | OCR |
| Module | Further Statistics (Further Statistics) |
| Year | 2023 |
| Session | June |
| Topic | Cumulative distribution functions |
| Type | CDF 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 \(Y\).