SOLUTION: Refer to the contingency table shown below. Smoking by Race for Males Aged 18-24 Smoker (S) Nonsmoker (N) Row Total White (W) 299 508 807 Black (B) 47

Question 1165946: Refer to the contingency table shown below.

Smoking by Race for Males Aged 18-24
Smoker
(S) Nonsmoker
(N) Row Total
White (W) 299 508 807
Black (B) 47 146 193
Column Total 346 654 1,000

Click here for the Excel Data File

(a) Calculate the probabilities given below:
i. P(S)

ii. P(W)

iii. P(S | W)

iv. P(S | B)

v. P(S and W)

vi. P(N and B)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!

======= S N T
White (W) 299 508 807
Black (B). 47 146 193
Column Total 346 654 1,000
P(S)=346/1000 or 0.346
P (W)=0.807
Both of these look directly at the totals for the row or column.
P(S|W) There are 807 W and 299 smoke so the answer is 299/807, or 0.371
P(S|B) is 47/193 or 0.244
P(S and W) is one of the inner cells. S and W is 299 and the denominator is 1000, so answer is 0.299
P (N and B) is 146/1000 or 0.146
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