Answer:
a) 45% probability that the person is a male, given that he is a democrat.
b) 42.52% probability that the person is a republican given that he is male.
c) 41.67% that an Independent person is a female.
Step-by-step explanation:
A probability is the number of desired people(outcomes) divided by the total number of people(outcomes).
Example.
In a sample of 50 people, 30 are Buffalo Bills fans. The probability that a randomly selected person is a Buffalo Bills is 30/50 = 0.6 = 60%.
So
a) Male given that the person is a Democrat?
There are 100 Democrats. Of them, 45 are male and 55 are female.
So there is a 45/100 = 0.45 = 45% probability that the person is a male, given that he is a democrat.
b) Republican given that the person is Male?
There are 127 males. Of those, 54 are Republican.
So there is a 54/127 = 0.4252 = 42.52% probability that the person is a republican given that he is male.
c) Female given that the person is an Independent?
There are 48 independent people. Of those, 20 are female.
So there is a 20/48 = 0.4167 = 41.67% that an Independent person is a female.
