4. A survy was conducted at a business school on the demographics of graduate students 1 a. What is the population of interest in this survey? [4] b. Set up a joint probability table for these data. c. What is the probability that a randomly selected graduate student is male and studying in business administration programme? [3] d. What is the probability that a randomly selected graduate student is studying in either accounting or finance programme? e. What is the probability that a randomly selected female graduate stident is studying in tourism management programme? f. Are the events "male" and "business administration programme" independent? Provide statistical evidence to support your answer. [3] g. Are the events "female" and "accounting programme" mutually exclusive? Provide statistical evidence to support your answer. h. What is the probability that more than 2 out of 10 female graduate students are studying [6] in tourism management programme