Question

The article "Chances Are You Know Someone with a Tattoo, and He's Not a Sailor" 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	24	26
Age 30–50	6	44

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)

Answer 1

From the given information,

Here, N=24+6+26+44=100

Hence,

Required probabilities are,

(a)    P(tattoo)=(24+6)/100=30/100=0.30

(b)    P(tattoo|age 18–29)=24/(24+26)=24/50=0.48

(c)    P(tattoo|age 30–50)=6/(6+44)=6/50=0.12

(d)    P(age 18–29|tattoo)=24/(24+6)=24/30=0.80

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