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A survey is conducted to find out whether people in metropoli- tan areas obtain their news...

A survey is conducted to find out whether people in metropoli- tan areas obtain their news from television (Event T), an newspaper (Event N), or radio (Event R). The results show that 77% of people get news on television, 63% from newspapers, 47% from radio, 45% from television and newspapers, 29% from television and radio, 21% from newspapers and ratio, and 6% from television, newspapers and radio. a) What is the proportion who obtain news from television, but not news- papers? b) What is the proportion who do not obtain news from either television or radio? c) What is the proportion who do not obtain news from any of these three sources?

d) Given that radio is a news source, what is the probability that a newspa- per is also a news source? e) Given that TV is a news source, what is the probability that radio is not a news source? f) Given that both newspaper and radio are news sources, what is the prob- ability that TV is not a news source?

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