Question

In a survey of 295 people, the following data were obtained relating gender to political orientation:

	Republican (R)	Democrat (D)	Independent (I)	Total
Male (M)	65	77	23	165
Femal (F)	93	25	12	130
Total	158	102	35	295

A person is randomly selected. What is the probability that the person is:
a) Male?
b) Male and a Democrat?
c) Male given that the person is a Democrat?
d) Republican given that the person is Male?
e) Female given that the person is an Independent?
f) Are the events Male and Republican independent? Enter yes or no .

Answer 1

a) The probability that the person is male

b) The probability that the person is male and democrat

c) The probability that the person is male given that the person is a Democrat

= P( male | democrat)

d) The probability that Republican given that the person is Male

= P(Male | Republican)

e)  The probability that female given that the person is an Independent

= P(independent | female)

f) P(male) = 0.559322

P(male | republican) = 0.411392

Since P(male) P(male | republican), so the two events Male and Republican are not ndependent.