Students 34

Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below:

age	At least one tattoo	No tattoo	Row totals
Age 18 - 29	165	342	507
Age 30 - 50	64	484	548
Column Totals	229	826	1055

What is the probability that a person is chosen at random:

**LEAVE ALL ANSWERS AS FRACTIONS**

a. ) Has at least one tattoo? =


b. ) Is between 30 - 50 years old? =


c. ) Is Age 18 - 29 AND has No tattoo =


d. ) Has at least one tattoo GIVEN they are between 30 - 50 years old? =


e. ) is between 18 - 29 years old, GIVEN they have at least one tattoo? =


f. ) Is between 18 - 29 years old OR has No tattoo? =

Correct answer:

a =  229/1055
b =  548/1055
c =  342/1055
d =  64/229
e =  55/169
f =  991/1055

Step-by-step explanation:

$a=\frac{229}{1055}=0.2171$

$b=\frac{548}{1055}=0.5194$

$c=\frac{342}{1055}=0.3242$

$d=\frac{64}{229}=0.2795$

$e=\frac{165}{507}=\frac{55}{169}=0.3254$

$f=\frac{507+826-342}{1055}=\frac{991}{1055}=0.9393$

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