a. Given that the person surveyed is a male, what is the probability that he prefers brand B? (Round to three decimal places as needed.)
b. Given that the person surveyed is a female, what is the probability that she prefers brand B? (Round to three decimal places as needed.)
c. Is preference independent of gender?
A. Preference is independent of gender because the probability of brand preference does not depend on the respondent's gender.
B. Preference is not independent of gender because the probability of brand preference does not depend on the respondent's gender.
C. Preference is independent of gender because the probability of brand preference depends on the respondent's gender.
D. Preference is not independent of gender because the probability of brand preference depends on the respondent's gender.
Homework Answers
a. P(brand B | male) = P(male and brand B)/P(male)
= 85/225
= 0.378
b. P(brand B | female) = P(female and brand B) | P(female)
= 100/275
= 0.364
c. D. Preference is not independent of gender because the probability of brand preference depends on the respondent's gender.
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