CAIE S1 2019 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionJune
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario

6 A fair five-sided spinner has sides numbered 1, 1, 1, 2, 3. A fair three-sided spinner has sides numbered \(1,2,3\). Both spinners are spun once and the score is the product of the numbers on the sides the spinners land on.
  1. Draw up the probability distribution table for the score.
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  2. Find the mean and the variance of the score.
  3. Find the probability that the score is greater than the mean score.