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College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a recent polI, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55 + Total More likely 205 357 374 410 1346 Less likely 25 6 25 19 75 Neither more nor less likely 290 216 176 114 520 579 575 543 796 Total 2217 (a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is neither more nor less likely to buy a product emphasized as "Made in our country"? The probability is approximately (Round to three decimal places as needed) (b) What is the probability that a randomly selected individual is neither more nor less likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 years of age? The probability is approximately (Round to three decimal places as needed.) (c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes, more likely No, less likely P Type here to search BANG &OUUFSE home end prt sc delete ho 144
Transcribed Image Text:In a recent polI, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c). Purchase likelihood 18-34 35-44 45-54 55 + Total More likely 205 357 374 410 1346 Less likely 25 6 25 19 75 Neither more nor less likely 290 216 176 114 520 579 575 543 796 Total 2217 (a) What is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is neither more nor less likely to buy a product emphasized as "Made in our country"? The probability is approximately (Round to three decimal places as needed) (b) What is the probability that a randomly selected individual is neither more nor less likely to buy a product emphasized as "Made in our country," given the individual is 35 to 44 years of age? The probability is approximately (Round to three decimal places as needed.) (c) Are 18- to 34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes, more likely No, less likely P Type here to search BANG &OUUFSE home end prt sc delete ho 144
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