OCR MEI Further Statistics B AS 2019 June — Question 1

Exam BoardOCR MEI
ModuleFurther Statistics B AS (Further Statistics B AS)
Year2019
SessionJune
TopicCentral limit theorem

1 It is known that the red blood cell count of adults in a particular country, measured in suitable units, has mean 4.96 and variance 0.15.
  1. Find the probability that the mean red blood cell count of a random sample of 50 adults from this country is at least 5.00.
  2. Explain how you can find the probability in part (a) despite the fact that you do not know the distribution of red blood cell counts.