Here are the results of a survey that students conducted at a mall. The students
ID: 3054079 • Letter: H
Question
Here are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos.
At least one tattoo
No tattoo
Row Totals
Age 18 - 29
170
320
490
Age 30 - 50
60
445
505
Column Totals
230
765
995
If we randomly select a person in the sample who is 30 to 50 years old, what is the probability that this person has a tattoo?
At least one tattoo
No tattoo
Row Totals
Age 18 - 29
170
320
490
Age 30 - 50
60
445
505
Column Totals
230
765
995
Explanation / Answer
We have to calculate P( Has tattoo | Age 30-50) = ?
From the conditional probability formula,
P(A | B) = P( A AND B) / P(B)
P( Has tattoo | Age 30-50) = P( Has tattoo AND Age 30-50) / P( Age 30-50)
= 60 / 505
= 0.1188
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