It has been reported the men are more likely than women to participate in online

Question

It has been reported the men are more likely than women to participate in online auctions. In a recent survey 65% of respondents reported that they had participated in an online auction. And the same survey 45% of respondents were men and 30% were men do I participate in online auctions. What is the probability that responded the selected at random is female and has never participated in an online auction? It has been reported the men are more likely than women to participate in online auctions. In a recent survey 65% of respondents reported that they had participated in an online auction. And the same survey 45% of respondents were men and 30% were men do I participate in online auctions. What is the probability that responded the selected at random is female and has never participated in an online auction? It has been reported the men are more likely than women to participate in online auctions. In a recent survey 65% of respondents reported that they had participated in an online auction. And the same survey 45% of respondents were men and 30% were men do I participate in online auctions. What is the probability that responded the selected at random is female and has never participated in an online auction?

Explanation / Answer

Let

P = participated
M = male

F = female

Thus,

P(P n M) = 0.30

Thus,

P(P n F) = 0.65 - 0.30 = 0.35

Thus,

P(P' n F) = (1 - P(M)) - P(P n F) = (1-0.45) - 0.35 = 0.20 [ANSWER]

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