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An article included results from a survey of adults aged 18 to 50. The accompanying data...

Question

An article included results from a survey of adults aged 18 to 50. The accompanying data...

An article included results from a survey of adults aged 18 to 50. The accompanying data are consistent with summary values g

An article included results from a survey of adults aged 18 to 50. The accompanying data are consistent with summary values given in the article. At Least One Tattoo No Tattoo Age 18-29 126 324 Age 30-50 54 396 Assuming these data are representative of adult Americans and that an adult American is selected at random, use the given information to estimate the following probabilities. (a) P(tattoo) (b) P(tattoo | age 18-29) (c) P(tattoo | age 30-50) (d) P(age 18-29 | tattoo)

Answers

From given table,

Total = 126 + 54 + 324 + 396 = 900

(a)

P(tattoo) = (126 + 54) / 900 = 180 / 900 = 0.20

(b)

P(tattoo | age 18-29) = 126 / (126 + 324) = 0.28

(c)

P((tattoo | age 30-50) = 54 / (54 + 396) = 0.12

(d)

P(age 18-29 | tattoo) = 126 / (126 + 54) = 0.7


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