The follow indicates the the of a of a survey of beverage preference beverage T
ID: 3836502 • Letter: T
Question
The follow indicates the the of a of a survey of beverage preference beverage T Wine Beer Gender 120 100 75 Female a. point) what is the probability that a randomly selected man does not favor (1 beer? b. (1 point) what is the probability of selecting a person that favors wine? c. point) if a person is a beer drinker, what is the probability that it is a woman? elected person is a male and favors beer? e. 1 point) Are gender and alcoholic beverage preference independent events? Explain your answer. so it isnt t esy beco o mus to beExplanation / Answer
Here is the solution for the first 4 questions:
Given:
Male Beer: 120.
Male Wine: 20.
Total Male: 140.
Female Beer: 75.
Female Wine: 100.
Total Female: 175.
a. What is the probability that a randomly selected man does not favor beer?
Total males: 140.
Male who doesn't favor beer(male who favor wine): 20.
So, the answer is: 20 / 140 = 0.14.
b. What is the probability of selecting a person that favors wine?
Total people: 140(male) + 175(female) = 315.
Wine drinking people: 20(male) + 100(female) = 120.
So, the answer is: 120 / 315 = 0.38.
c. If a person is a beer drinker, what is the probability that it is a woman?
Total beer drinkers: 120(male) + 75(female) = 195.
female beer drinkers: 75.
So, the answer is: 75 / 195 = 0.38.
d. What is the probability that a randomly selected person is a male and favors beer?
Total people: 315.
Beer drinking males: 120.
So, the answer is: 120 / 315 = 0.38.