The ANZ Banking Group Limited (ANZ) conducted a survey among its customers. Among others, customers were asked the question "What is your overall impression of ANZ?" The possible responses are "Good" and "Poor". In addition, the gender of the respondent is noted. After analysing the results, the following table of joint probabilities was produced.

Rating	Female	Male
Good	0.20	0.50
Poor	0.15	0.15

a. Determine the probability that a female customer rates ANZ as "Good".

b. Determine the probability that a customer rates ANZ as "Good" conditional on that the customer is a male.

c. Are gender and rating independent? Use calculation to support your conclusion.

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