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Represent the information on a Venn diagram.

Mathematics

ScanSolve AI Answer

Here are the solutions to the questions.

1. (a) (i) Represent the information on a Venn diagram.

Let TT be the set of people who own a Television and RR be the set of people who own a Radio.
Given:

  • P(T)=68%P(T) = 68\%
  • P(R)=72%P(R) = 72\%
  • P(neither T nor R)=12%P(\text{neither } T \text{ nor } R) = 12\%

Step 1: Find the percentage of people who own at least one item.
The percentage of people who own neither is 12%12\%. So, the percentage of people who own at least one item (Television or Radio or both) is $100% -

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