Two thousand randomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses.

a. If one adult is selected at random from these 2000 adults, find the probability that this adult
i. Has never shopped on the Internet
ii. Is a male
iii. Has shopped on the Internet given that this adult is a female
iv. Is a male given that this adult has never shopped on the Internet
b. Are the events €œmale€ and €œfemale€ mutually exclusive? What about the events €œhave shopped€ and €œmale?€ Why or why not?
c. Are the events €œfemale€ and €œhave shopped€ independent? Why or why not?

Transcribed Image Text:

Have Shopped 500 300 Have Never Shopped 700 500 Male Female