OCR MEI Further Statistics Minor Specimen — Question 1

Exam BoardOCR MEI
ModuleFurther Statistics Minor (Further Statistics Minor)
SessionSpecimen
TopicGeometric Distribution
TypeFirst success on specific trial

1 A darts player is trying to hit the bullseye on a dart board. On each throw the probability that she hits it is 0.05 , independently of any other throw.
  1. Find the probability that she hits the bullseye for the first time on her 10th throw.
  2. Find the probability that she does not hit the bullseye in her first 10 throws.
  3. Write down the expected number of throws which it takes her to hit the bullseye for the first time.
  4. Write down the expected number of throws which it takes her to hit the bullseye for the first time.