2) The table below shows the results of some random high school students about their pets. Own a Dog Do not own a Dog Total Own a Cat 25 16 41 Do not own a Cat 17 26 Total 42 25 67 a) Take the values from the two-way table above and put them in the following Venn Diagram. Be sure to label the circles. Own a dog Qwn a cat 25 17 16 9 b) Suppose that we randomly choose a student. Find the following probabilities. Pr(Own a dog) = 62% Pr(Own a cat) = 61% Pr(not owning a dog) = 37% Pr(not owing a cat) = 38% %3D Pr(own a dog and not a cat) = 25% Pr(own a cat and not a dog) = 23% c) Are the events "do not own a dog" and "do not own a cat" mutually exclusive? Explain.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.