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?

Question

Mathematics

Bryanna Villa

13 December, 03:01

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?

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Rowan Tyler · Answer 1

11.88% probability that this person has a tattoo

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

From this probability distribution, we have that:

There are 490 people aged 18-29. Of those, 170 have tattoos, and 320 do not.

There are 505 people aged 30-50. Of those, 60 have tattoos and 445 do not.

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?

p = 60/505 = 0.1188

11.88% probability that this person has a tattoo