E-commerce. Suppose an online business organizes an e-mail survey to find out if online shoppers are concerned with the security of business transactions on the Web. Of the 42 individuals who respond, 24 are concerned, and 18 are not concerned.

Eight of those concerned about security are male and 6 of those not concerned are male. If a respondent is selected at random, find each of the following conditional probabilities:

a) The respondent is male, given that the respondent is not concerned about security.

b) The respondent is not concerned about security, given that she is female.

c) The respondent is female, given that the respondent is concerned about security.