Question

Data from Office on Smoking and Health, Centers for Disease Control and Prevention, indicate that 35% of adults who did not finish high school, 30% of high school graduates, 25% of adults who completed some college, and 14% of college graduates smoke. Suppose that one individual is selected at random and it is discovered that the individual smokes. Use the probabilities in the following table to calculate the probability that the individual is a college graduate.
(Use picture)

Probability =

Answer 1

@dan815

Answer 2

okay im here

Answer 3

I see that

Answer 4

:D thank you

Answer 5

what picture do they want

Answer 6

the attachment I put there

Answer 7

okay i see

Answer 8

@dan815 I just saw this underneath all of the text

Hints: This problem has all the information you need, but not in the typical ready-to-use form. The table above can tell you the proportion of people with various levels of education in the population. Keep in mind that any degree (Associate, Bachelor, or Advanced) counts as graduating from college.

Answer 9

measure the true area

Answer 10

hehe dont need hint :P

Answer 11

haha okay. what do you mean measure the true area?

Answer 12

35% no high
30% high
25%some college
14%college
----------------------
total percentage of college students that smoke
=0.14 * (total college students %)
=0.14*(0.0849+0.1959+0.0975)

Answer 13

now u wanna know the chance that a person smoking is a college student?

Answer 14

that would be
college smoker/ all smokers

Answer 15

its very similiar to the question u did before this one

Answer 16

so now its all of college smokers/ (0.0849+0.1959+0.0975+.1785+.3108+.0975)

Answer 17

not all of them smoke those are the distribution of the people

Answer 18

we want to see only the smokers from them

Answer 19

oh wait

Answer 20

35% no high
30% high
25%some college
14%college
----------------------
total percentage of college students that smoke
=0.14 * (total college students %)
=0.14*(0.0849+0.1959+0.0975)
--------------------
Total smokers
=0.35*0.0975 + 0.30* 0.3108 + 0.25*0.1785 + 0.14*(0.0849+0.1959+0.0975)

Answer 21

exactly what I was typing

Answer 22

haha

Answer 23

oh oops i didnt see the unemployed part

Answer 24

just add the numbers in unmployed in everywhere

Answer 25

kk

Answer 26

what about for the numerator?

Answer 27

@dan815 where do I add the unemployed?

Answer 28

its part of the total population

Answer 29

so do I add employed and unemployed together than multiple by the %

Answer 30

yes

Answer 31

okay one sec

Answer 32

it was correct :D