Cond. Prob: male/female, sterilization in developed world

[mckenzierae]

In the developed regions of the world, women constitute about 51% of the adult population. In these regions of the world 8% of women and 4% of men have been sterilized as a means of contraception.

a) What percent of adults in developed countries are men who have been sterilized as a means of contraception?

b) What percent of adults in developed countries are women who have been sterilized as a means of contraception?

c) What percent of adults in developed countries have been sterilized as a means of contraception?

d) If an adult in a developed country has been sterilized as a means of contraception, what is the probability that adult is a woman?


--So, I'm not quite sure why I'm so confused, I was understanding this yesterday and for some reason I can't quite get it.

I have:
F- Female
S- Sterilized

P(F)= .51
P(F)'= .49
P(S|F)= .08
P(S|F')= .04

But I don't know where to go from there. Help is MUCH appreciated!!!

 

[pka]

\(\displaystyle \L \begin{array}{l}
a)\quad P(MS) = P(S|M)P(M) \\
b)\quad P(FS) = P(S|F)P(F) \\
c)\quad P(S) = P(SM) + P(SF) \\
d)\quad P(F|S) = \frac{{P(FS)}}{{P(S)}} \\
\end{array}\)

 

[mckenzierae]

I am very sorry. I meant to 'quote' your post and apparently hit edit instead.

its okay, what the person said below you is how i started doing number one and two so i think thats right..

 

[pka]

Re: A PM.
First I HATE private messages!
Say what you want in public!

for d is it supposed to be P(F|S) of P(S|F)?

d) If an adult in a developed country has been sterilized as a means of contraception, what is the probability that adult is a woman?

If you can read, that statement says: P(F|S)!
We cannot be held responsible for reading skills.

 

[mckenzierae]

Re: A PM.
First I HATE private messages!
Say what you want in public!

for d is it supposed to be P(F|S) of P(S|F)?

d) If an adult in a developed country has been sterilized as a means of contraception, what is the probability that adult is a woman?

If you can read, that statement says: P(F|S)!
We cannot be held responsible for reading skills.

FIRST OF ALL- I DIDNT KNOW IF YOU WOULD READ IT IF I POSTED IT ON HERE
SECOND OF ALL- I JUST LEARNED THIS TODAY, I WASNT QUITE SURE HOW TO MAKE SURE ITS F|S BECAUSE ALL I WAS TAUGHT IS THAT IT SAYS GIVEN

 

[stapel]

I DIDNT KNOW IF YOU WOULD READ IT IF I POSTED IT ON HERE

There is no paid staff waiting on-hand to provide instant replies, so sending private messages to one particular tutor (who may have gone offline for a few days, etc) is generally pointless.

To receive tutoring help, kindly post tutoring requests and replies openly to the tutoring forums, where the tutors can see them. Please restrict use of the private-messaging system to the sending of private (that is, off-topic, non-tutoring) messages. :wink:

Thank you!

Eliz.