Question

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

Answer 1

Answer:

Hence, the Female and not participated is $\frac{28}{100}=0.28\%$

Step-by-step explanation:

Let Total respondents $=100$

Participated in online action $(P)=65$

Men $(m)=45$  and Women $(F)=100-45=55$

Male and participated $(M\; \text{and}\;P)=38$

Female and participated $(F\; \text{and}\;P)=65-38=27$

Male and not participated is $45-38=7$

Female and not participated is $55-27=28$

Therefore, the Female and not participated is $\frac{28}{100}=0.28\%$

Hence, the correct option is $D$.