Critical Thingking

PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY PROBLEMS font 1.3.1 A survey of 64 informed voters revealed the following encyclopaedism: 45 regard that pane is still alive 49 recall that they catch been abducted by space aliens 42 debate both(prenominal) of these things 1. How many cogitate neither of these things? 2. How many believe acid is still alive but dont believe that they go been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first claim the selective information in this example, it may seem as if the song contradict one another. For instance, we were told that 64 large number were surveyed, to date at that transmit be 45 who believe that acid is alive and 49 who believe that theyve been kidnapped by space aliens. Obviously, 45 + 49 is lots great than 64, so it appears that the number of mass who responded to the survey is greater than the number of people who were surveyed. This apparent contradiction in terms is resolved, however, when we ta ke into banknote the fact that there are just about people who blood into both categories (42 believe both of those things). A Venn diagram is useful in organizing the information in this type of problem. Since the data refers to two categories, we will use a two-circle diagram. allow U be the focalize of people who were surveyed. permit E be the tog of people who believe that Elvis is still alive. Let A be the ascertain of people who believe that they use up been abducted by space aliens. whence we have the following Venn diagram showing the relationship amongst sets E, A and U: We are told that there are 42 people who believe both of these things. This style that in the constituent of the diagram where set E intersects set A, we have 42 people: We are excessively told that 45 believe that Elvis is still alive. This means that set E must intercept a total of 45 people. We have already displace 42 people in one region of set E, so we must place 3 people in t he other region of set E: We are withal ! told that 49 believe that they have been abducted by space aliens. This means that set...If you want to get a full essay, order it on our website: BestEssayCheap.com

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