A-LevelMathematicsProbability and statistics9709/62 · Oct/Nov 2020 · Q24 Marks
A six-sided die has faces marked 1, 2, 3, 4, 5, 6. When the die is thrown 300 times it shows a six on 56 throws.
- (a)Calculate an approximate 96% confidence interval for the probability that the die shows a six on one throw.[3]
- (b)Maroulla claims that the die is biased. Use your answer to part (a) to comment on this claim.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [M1] For expression of the correct form. Must be a z value
- [B1] z = 2.054 or 2.055
- [A1] 0.14(0) to 0.233 (3sf) or 0.141 to 0.233 (3sf)
- [B1 FT] 1/6 (= 0.167) This is within confidence interval, so no reason to believe die is biased.
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