Find out the conditional probability for the given data

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Finding the conditional probability for the given data.

Suppose that, at USU, 60% of the faculty is male and 40% are female. Of the male faculty, 70% say they vote Democrat, versus 50% of the female faculty who say they vote Democrat.

(a) I pick one faculty member at random. What is the chance that this person votes Democrat?

(b) I pick a second faculty member at random from the original population and determine that this person votes Democrat. Given this fact, what is the conditional chance that the selected person is male?

Reference no: EM1317526

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