In a recent poll, 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+ 209 308 322 403 29 7 25 14 Neither more nor less likely 280 202 159 133 Total 518 517 506 550 More likely Less likely The probability is approximately 0.259. (Round to three decimal places as needed.) Total D 1242 75 774 2091 (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more 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 more likely to buy a product emphasized as "Made in our country." given the individual is 45 to 54 years of age?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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In a recent poll, 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+
More likely
Less likely
209 308 322 403
29 7 25 14
Neither more nor less likely 280 202 159 133
Total
518 517 506 550
(a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is
more likely to buy a product emphasized as "Made in our country"?
The probability is approximately 0.259
(Round to three decimal places as needed.)
Total D
1242
75
774
2091
(b) What is the probability that a randomly selected individual is more likely to buy a product emphasized as "Made in
our country." given the individual is 45 to 54 years of age?
The probability is approximately
(Round to three decimal places as needed.)
Transcribed Image Text:In a recent poll, 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+ More likely Less likely 209 308 322 403 29 7 25 14 Neither more nor less likely 280 202 159 133 Total 518 517 506 550 (a) What is the probability that a randomly selected individual is 45 to 54 years of age, given the individual is more likely to buy a product emphasized as "Made in our country"? The probability is approximately 0.259 (Round to three decimal places as needed.) Total D 1242 75 774 2091 (b) What is the probability that a randomly selected individual is more likely to buy a product emphasized as "Made in our country." given the individual is 45 to 54 years of age? The probability is approximately (Round to three decimal places as needed.)
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