3) It has been reported that men are more likely than women to participate in online auctions. A recent study found that 50% of Internet shoppers are women and that 30% of Internet shoppers have participated in online auctions. Moreover, 25% of online shoppers were men and had participated in online auctions. a) Construct the contingency table with marginal values. b) What is the probability that a randomly chosen participant will be a woman who does not participate in online auction? c) Given that a participant participates in an online auction, what would be its probability of being a man? d) Are gender and participation in online auctions independent? Explain.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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3) It has been reported that men are more likely than women to participate in online auctions. A
recent study found that 50% of Internet shoppers are women and that 30% of Internet
shoppers have participated in online auctions. Moreover, 25% of online shoppers were men
and had participated in online auctions.
a) Construct the contingency table with marginal values.
b) What is the probability that a randomly chosen participant will be a woman who does not
participate in online auction?
c)
Given that a participant participates in an online auction, what would be its probability of
being a man?
d) Are gender and participation in online auctions independent? Explain.
Transcribed Image Text:3) It has been reported that men are more likely than women to participate in online auctions. A recent study found that 50% of Internet shoppers are women and that 30% of Internet shoppers have participated in online auctions. Moreover, 25% of online shoppers were men and had participated in online auctions. a) Construct the contingency table with marginal values. b) What is the probability that a randomly chosen participant will be a woman who does not participate in online auction? c) Given that a participant participates in an online auction, what would be its probability of being a man? d) Are gender and participation in online auctions independent? Explain.
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