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Please answer the questions clearly

2. A certain city has 2 daily newspapers, the Chronicle and the Times. A survey of 100 residents of the city was conducted to determine the readership of the two newspapers. It was found that 80 took the Chronicle, 65 took the Times, and 15 took neither paper. Assuming that the survey reflects the actual readership of the city, what is the probability that a resident selected at random: (HINT: Draw a picture of the sample space and the events) (a) Reads at least one of two papers? (b) Reads both papers? 3. A market research organization claims that, among 500 shoppers interviewed, 308 regularly buy Product X, 266 regularly buy Product Y, 103 regularly buy both, and 59 buy neither on a regular basis. Use a Venn diagram to check the claims made by this study. Are the claims valid or invalid?

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