Assume that we are talking about all students at your colleg

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.

Solution

#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.