Exercise 4.53. 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 Never Shopped 700 500 Male Female Have Shopped 500 300 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Exercise 4.53. 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 Shopped
Have Never Shopped
700
500
Male
Female
500
300
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:Exercise 4.53. 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 Shopped Have Never Shopped 700 500 Male Female 500 300 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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