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. Have ever S hopp ed Havee Male 500 700 Female 300 500 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 "male" and "female" mutually exclusive? What about the events "have shopped" and “male?" Why or why not? c. Are the events "female" and "have shopped" independent? Why or why not?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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4) 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.
opped
Shop ped
Male
500
700
Female
300
500
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 "male" and "female" mutually exclusive? What about the events "have
shopped" and “male?" Why or why not? c. Are the events "female" and "have shopped"
independent? Why or why not?
Transcribed Image Text:4) 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. opped Shop ped Male 500 700 Female 300 500 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 "male" and "female" mutually exclusive? What about the events "have shopped" and “male?" Why or why not? c. Are the events "female" and "have shopped" independent? Why or why not?
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