SOLUTION: Please help with this probability question. Needing detail solution steps. Find the probability. The table below describes the smoking habits of a group of asthma sufferers.

Question 457855: Please help with this probability question. Needing detail solution steps.
Find the probability.
The table below describes the smoking habits of a group of asthma sufferers.
non smoker light smoker heavy smoker total
men 350 88 82 520
women 334 70 84 488
total 684 158 166 1008
A person is randomly selected. If the person selected is a light smoker, what is the probability that
it is a woman?
A) 0.069 B) 0.143 C) 0.443 D) 0.257

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The table below describes the smoking habits of a group of asthma sufferers.
non smoker light smoker heavy smoker total
men 350..... 88...... 82...... 520
women 334..... 70...... 84...... 488
total 684..... 158..... 166..... 1008
A person is randomly selected. If the person selected is a light smoker, what is the probability that it is a woman?
----
This is a conditional probability problem.
P(woman | light smoker)
= [P(woman AND light smoker)]/P(light smoker)]
---
= 70/1008 / 158/1008
= 70/158
= 0.4430
-------------------
Notice: You get the answer faster by simply dividing the
number of light-smoker women by the # of light smokers
===================
Cheers,
Stan H.

A) 0.069 B) 0.143 C) 0.443 D) 0.257

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