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dogma
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Tree Diagram
Hello again!
I'm stuck and need a little push.
Referring to the diagram: out of a group of smokers, 20% are heavy smokers, 30% are light smokers, and 50% are non-smokers. A light smoker is twice as likely to die as a non-smoker but half as likely as a heavy smoker.
H: heavy smoker
L: light smoker
N: non-smoker
D: die
So, I created the tree diagram (see attached) and understand the relationship. I come up with the following.
[tex]P(D|L)=2P(D|N)=\frac{1}{2}P(D|H)[/tex]
[tex]P(H|D)=\frac{P(H)P(D|H)}{P(D)}[/tex]
and likewise for P(L|D) and P(N|D)
I need to figure out what P(H|D) is given the info and the tree I created.
Can someone nudge me in the right direction?
Thanks,
dogma
Hello again!
I'm stuck and need a little push.
Referring to the diagram: out of a group of smokers, 20% are heavy smokers, 30% are light smokers, and 50% are non-smokers. A light smoker is twice as likely to die as a non-smoker but half as likely as a heavy smoker.
H: heavy smoker
L: light smoker
N: non-smoker
D: die
So, I created the tree diagram (see attached) and understand the relationship. I come up with the following.
[tex]P(D|L)=2P(D|N)=\frac{1}{2}P(D|H)[/tex]
[tex]P(H|D)=\frac{P(H)P(D|H)}{P(D)}[/tex]
and likewise for P(L|D) and P(N|D)
I need to figure out what P(H|D) is given the info and the tree I created.
Can someone nudge me in the right direction?
Thanks,
dogma
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