OCR MEI Further Statistics A AS 2021 November — Question 5

Exam BoardOCR MEI
ModuleFurther Statistics A AS (Further Statistics A AS)
Year2021
SessionNovember
TopicUniform Distribution
TypeVariance of sum of independent values

5 A fair spinner has five faces, labelled 0, 1, 2, 3, 4.
  1. State the distribution of the score when the spinner is spun once.
  2. Determine the probability that, when the spinner is spun twice, one of the scores is less than 2 and the other is at least 2.
  3. Find the variance of the total score when the spinner is spun 5 times.