In a group of 30 adults, 25 are right-handed and 8 wear spectacles. The number who are right-handed and do not wear spectacles is 19. (i) Copy and complete the following table to show the number of adults in each category. Wears spectacles Does not wear spectacles Total --- --- --- --- Right-handed Not right-handed Total 30 (ii) An adult is chosen at random from the group. Event $X$ is 'the adult chosen is right-handed'; event $Y$ is 'the adult chosen wears spectacles'.…

Mathematics 9709/63 — May/June 2016

Cambridge A-Level · Probability & Statistics 1 (S1) · worked solutions for every part, with the mark scheme

questions

marks

minutes

Topics Representation of Data · Probability · Discrete Random Variables · The Normal Distribution · Permutations and Combinations

Q1Representation of DataProbabilityFree sample

In a group of 30 adults, 25 are right-handed and 8 wear spectacles. The number who are right-handed and do not wear spectacles is 19.

(i)

Copy and complete the following table to show the number of adults in each category.

(ii)

An adult is chosen at random from the group. Event $X$ is 'the adult chosen is right-handed'; event $Y$ is 'the adult chosen wears spectacles'.

Determine whether $X$ and $Y$ are independent events, justifying your answer.

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