Math Help - Using table to decipher answer in stats

1. Using table to decipher answer in stats

TABLE describes the smoking habits of a group of asthma suferers

occasional Regular Heavy
non smoker Smoker Smoker Smoker total
MEN 433 42 71 37 583

WOMEN 326 47 78 39 490

total 759 89 149 76 1073

Q1 iF 1 of the people is randomly selescted,find the Prblty that the person is a man OR heavy smoker

I come out with 620/1073 Is this right?

Q2 If one person is selected at random, find the probability that the person is a woman OR regular smoker

I come out w/ 568/173 Is this right ?

Q3 If one person is selected at random, find the Prob that the perso n is a man an a non smoker

??????

Q4 What is the prob that a person is a non smoker, given that the person is a woman

I come out w/ 490/759 Is this right ?

Q5 What is the Prob that a person IS a woman, Given that the person is a heavy smoker

I come out w/ 76/490 Is this right ?

2. Originally Posted by Cribster01
TABLE describes the smoking habits of a group of asthma suferers

occasional Regular Heavy
non smoker Smoker Smoker Smoker total
MEN 433 42 71 37 583

WOMEN 326 47 78 39 490

total 759 89 149 76 1073
Match my numbers up in each answer with the table to see why I chose the numbers I chose.

Originally Posted by Cribster01
Q1 iF 1 of the people is randomly selescted,find the Prblty that the person is a man OR heavy smoker

I come out with 620/1073 Is this right?
Nope, $\frac{583+39}{1073}=\frac{622}{1073}$

Originally Posted by Cribster01
Q2 If one person is selected at random, find the probability that the person is a woman OR regular smoker

I come out w/ 568/173 Is this right ?
Nope, $\frac{490+71}{1073}=\frac{561}{1073}$

Originally Posted by Cribster01
Q3 If one person is selected at random, find the Prob that the perso n is a man an a non smoker

??????

$\frac{433}{1073}$

Originally Posted by Cribster01
Q4 What is the prob that a person is a non smoker, given that the person is a woman

I come out w/ 490/759 Is this right ?
Nope, you must pick the non-smoking women out of the women (men were eliminated in the question), $\frac{326}{490}$

Originally Posted by Cribster01
Q5 What is the Prob that a person IS a woman, Given that the person is a heavy smoker

I come out w/ 76/490 Is this right ?
Similar to last question, $\frac{39}{76}$