OCR MEI Further Statistics Minor 2022 June — Question 4

Exam BoardOCR MEI
ModuleFurther Statistics Minor (Further Statistics Minor)
Year2022
SessionJune
TopicGeometric Distribution
Typer-th success on trial n

4 Alex is practising bowling at a cricket wicket. Every time she bowls a ball, she has a \(30 \%\) chance of hitting the wicket.
  1. Assuming that successive bowls are independent, determine the probability that Alex first hits the wicket on her third attempt.
  2. Determine the probability that Alex hits the wicket for the fourth time on her tenth attempt.