Question

Qantas Airways Limited conducts surveys to determine the opinions of its customers. Among others, customers are asked the question “What is your overall impression of Qantas?” 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	0.32	0.40
poor	0.16	0.12

a.         Determine the probability that a female customer rates Qantas Airways Limited as “Good”.

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

Answer 1