Question: When asked to select their favorite opera work, 26% of the respondents selected a piece by Puccini, and 22% of the respondents selected a piece

When asked to select their favorite opera work, 26% of the respondents selected a piece by Puccini, and 22% of the respondents selected a piece by Verdi. Moreover, 59% of the respondents who selected a piece by Puccini were female, and 45% of the respondents who selected a piece by Verdi were female. Altogether. 62 % of the respondents were female.
(a) If a respondent selected a piece that is by neither Puccini nor Verdi, what is the probability that the respondent is female?
(b) What proportion of males selected a piece by Puccini?

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