Question

Researchers estimate that 21.5% of men and 17% of women smoke.
70.2/100000 men develop lung cancer and 50.5/100000 women
90% of men who have lung cancer are smokers and 80% of women

Given that a man has lung cancer, what is the probability that he is a smoker? Write this event with the correct conditional notation

Answer 1

Hello

Answer 2

HI, do u know how to answer this?

Answer 3

Okay thanks

Answer 4

why do you keep deleting your posts?

Answer 5

\(\color{#0cbb34}{\text{Originally Posted by}}\) @frankystein3056
why do you keep deleting your posts?
\(\color{#0cbb34}{\text{End of Quote}}\)
I can't help, but if I comment I will keep getting notifications e_e

Answer 6

okay...

Answer 7

Sorry! I don't mean to confuse you. :(
I do want you to get help though :)

Answer 8

no dont worry about it, I got ya, help would be great though- Im really stuck : (

Answer 9

I dont understand who in the world decides to stick statistics into geometry and call it geometry!

Answer 10

thankyou

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @frankystein3056
I dont understand who in the world decides to stick statistics into geometry and call it geometry!
\(\color{#0cbb34}{\text{End of Quote}}\)
Oh gosh xD that sounds terrible I'm sorry :(

Answer 12

dont applogize- not your fault

Answer 13

Alright, a math pro is here • good luck!! ♣

Answer 14

@frankystein3056

> I dont understand who in the world decides to stick statistics into geometry and call it geometry!

This is not a Geometry problem. It is a conditional probability problem.

Answer 15

Yes I know, it is statistics, but it is included in geometry class for some reason

Answer 16

You said that twice lol

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Directrix
@frankystein3056

> I dont understand who in the world decides to stick statistics into geometry and call it geometry!

This is not a Geometry problem. It is a conditional probability problem.
\(\color{#0cbb34}{\text{End of Quote}}\)

Can you help with conditional probability though? :( sorry I'm rather rusty with this subject material

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @frankystein3056
Researchers estimate that 21.5% of men and 17% of women smoke.
70.2/100000 men develop lung cancer and 50.5/100000 women
90% of men who have lung cancer are smokers and 80% of women

Given that a man has lung cancer, what is the probability that he is a smoker? Write this event with the correct conditional notation
\(\color{#0cbb34}{\text{End of Quote}}\)

http://mathforum.org/library/drmath/view/56684.html
I found this, don't know if it will help but... :/

Answer 19

thankyou

Answer 20

Hello would you please be able to help me with conditional property? If not its okay I understand- its really hard.

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @frankystein3056
Hello would you please be able to help me with conditional property? If not its okay I understand- its really hard.
\(\color{#0cbb34}{\text{End of Quote}}\)
I think it's better if you tag who you're talking to lol :P

Answer 22

@jomc4 - do you know conditional probability?

Answer 23

@agent0smith would you be able to help me with conditional probability?

Answer 24

alright do you want the formula or me to answer the original question..

Answer 25

The origininal question would be helpful

Answer 26

*original

Answer 27

We need

P(smoker GIVEN lung cancer)

We do not care about any of the female numbers.

http://maths.nayland.school.nz/Year_13_Maths/3.13_Probability/Images_3.3_Probability/Probab15.jpg

Answer 28

So how do we plug it in?
Also the 90% throws me off bc is that the union or is that the given?

Answer 29

@agent0smith are you able to help me?

Answer 30

Yeah I hate this question. I think the 90% gives us

P(smoker AND lung cancer) = 0.9*70.2/100000

Answer 31

but that would be 87.75- everything im getting is over 1

Answer 32

If that's over 1 then you did something very wrong

Answer 33

I thought I'd worked it out, then I ended up with 0.9. UGH.

Answer 34

i think .9 is right- can you show me how you worked it out? @agent0smith? sorry im late with this

Answer 35

I made a table like in that link posted earlier

Answer 36

would you be able to show me the work possibly?

Answer 37

@agent0smith

Answer 38

I can't really since I'm on my phone. But it just didn't seem right since it ended back at 0.9

Answer 39

well that would make sense because it says that the probability of someone who has cancer having smoked is 90%
if u proved that that makes sense

Answer 40

and that shows it is a conditional probability
i just need to see how you got that to make sure