Question

Question 2 – Empirical Probability
A research institute conduct a survey of international students enrolled offshore in higher education programs across major education sectors. The latest survey was conducted online survey in 2018 and results were summarised in Table. 1 below. ‘Satisfaction’ provides the results in response to the question: “Overall, which aspects do you satisfy most?” The ‘Total Offshore’ column provides the aggregate results for all students enrolled from 11 countries.
Nationality   
Satisfaction
Malaysia Singapore China Other
Total offshore
Arrival 35 25 38 42 140
Learning 68 54 72 42 236
Living 35 48 45 35 163
Support 42 35 29 20 126 Happiness 53 49 37 31 170 Total 233 211 221 170 835

Answer the following questions using Table. 1, ensuring you show the probability statement for each part.
a) (2 marks) What is the probability that a survey respondent choose ‘Happiness’? b) (2 marks) What is the probability that a survey respondent is from Singapore or his/her answer is ‘Learning’? c) (2 marks) What is the probability that a survey respondent is from other countries and he/she answer is ‘Support’? d) (2 marks) What is the probability that a survey respondent is from Malaysia given his/her answer is ‘Arrival’? e) (4 marks) Are the two events, ‘Satisfaction’ and ‘Nationality’, statistically independent? Evaluate using ‘Living’ and ‘China’ categories.

Question 2 - Empirical Probability A research institute conduct a survey of international students enrolled offshore in higher education programs across major education sectors. The latest survey was conducted online survey in 2018 and results were summarised in Table. 1 below. 'Satisfaction provides the results in response to the question: "Overall, which aspects do you satisfy most?" The 'Total Offshore' column provides the aggregate results for all students enrolled from 11 countries. Nationality Total Malaysia Singapore China Other offshore Satisfaction Arrival 35 25 38 42 140 68 54 72 42 236 35 48 45 35 163 Learning Living Support Happiness Total 42 35 29 20 126 53 49 170 233 211 221 170 835 Answer the following questions using Table. 1, ensuring you show the probability statement for each part. a) (2 marks) What is the probability that a survey respondent choose 'Happiness'? b) (2 marks) What is the probability that a survey respondent is from Singapore or his/her answer is 'Learning'? c) (2 marks) What is the probability that a survey respondent is from other countries and he/she answer is 'Support'? d) (2 marks) What is the probability that a survey respondent is from Malaysia given his/her answer is 'Arrival? e) (4 marks) Are the two events, 'Satisfaction' and 'Nationality', statistically independent? Evaluate using 'Living' and 'China' categories.