Assume that we are talking about all students at your college. Which group is la
ID: 3433628 • Letter: A
Question
Assume that we are talking about all students at your college.
Which group is larger: Students who are currently taking English AND
math, or students who are currently taking English?
Which group is larger: Students who are taking English OR math, or
students who are taking English?
Suppose a person is selected at random. Label each pair of events as mutually exclusive or not mutually exclusive.
The person is a parent; the person is a toddler.
The person is a woman; the person is a CEO (chief executive officer).
The percentage of left-handed people in the United States is estimated to be 10%. Men are about twice as likely to be left-handed as women. Are gender and handedness independent or associated? Explain.
A survey published in Vitality Magazine suggested that 67% of women in the United States thought shopping was relaxing and enjoyable, but only 37% of men felt that way. Assuming these values are accurate, state whether or not gender and opinion about shopping are independent.
Explanation / Answer
#1)
a) Larger : Students who are taking English.
b) Larger : Students who are taking English OR math.
#2)
a) The person is a parent; the person is a toddler : Mutually Exclusive
b) The person is a woman; the person is a CEO (chief executive officer). Not Mutually Exclusive
c) Associated. Not independent because it is given that men are about twice as likely to be left-handed as women.
#3)
Yes , gender and opinion about shopping are Independent.