Jetstar Airways Pty Ltd (Jetstar) conducted a survey among its customers. Its customers were asked the question "What is your overall impression of Jetstar?" The possible responses are "Good" and "Poor". In addition, the gender of the respondent is noted. After analyzing the results, the following table of joint probabilities was produced.

Rating	Female	Male
Good	0.24	0.56
Poor	0.06	0.14

a. Determine the probability that a male customer rates Jetstar as "Good". (2 marks)

b. Determine the probability that a customer rates Jetstar "Poor" conditional on that the customer is a female. (3 marks)

c. Are gender and rating independent? Use calculation to support your conclusion. (5 marks)