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It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of repondents reported that they had participated in an online auction. In this same survey, 45% of repondents were men and 38% were men who had participated in online auctions. What is the probability that a respondent selected at random is female and has never participated in an online auction?
A. 0.62
B. 0.72
C. 0.38
D. 0.28
E. 0.07

Respuesta :

Answer:

Hence, the Female and not participated is [tex]\frac{28}{100}=0.28\%[/tex]

Step-by-step explanation:

Let Total respondents [tex]=100[/tex]

Participated in online action [tex](P)=65[/tex]

Men [tex](m)=45[/tex]  and Women [tex](F)=100-45=55[/tex]

Male and participated [tex](M\; \text{and}\;P)=38[/tex]

Female and participated [tex](F\; \text{and}\;P)=65-38=27[/tex]

Male and not participated is [tex]45-38=7[/tex]

Female and not participated is [tex]55-27=28[/tex]

Therefore, the Female and not participated is [tex]\frac{28}{100}=0.28\%[/tex]

Hence, the correct option is [tex]D[/tex].

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