According to the Statistics Canada 2020 survey, the median after-tax income of Canadian households was $66,800 in the year 20201. That is, half of the Canadian households had income above this amount, and half had income equal to or below this amount. Suppose that four households are randomly selected and surveyed and that each one reveals whether its income was above $66,800 in 2020 or not. Based on the results of this random experiment, answer the following questions. a) Define the sample space for this experiment. List all the sample points in the sample space of this experiment. (Hint: define G as the event that the household income is above the indicated amount, N otherwise) (1.5 mark) b) List all the sample points in each of the following events: (3 marks) A. At least two households had incomes above $66,800. B. Exactly two households had incomes above $66,800. C. Exactly one household had an income less than or equal to $66,800. c) Given the definition of a median, calculate the probability for the three events defined in part (b). (1.5 marks) According to the Statistics Canada 2020 survey, the median after-tax income of Canadian households was $66,800 in the year 20201. That is, half of the Canadian households had income above this amount, and half had income equal to or below this amount. Suppose that four households are randomly selected and surveyed and that each one reveals whether its income was above $66,800 in 2020 or not. Based on the results of this random experiment, answer the following questions. a) Define the sample space for this experiment. List all the sample points in the sample space of this experiment. (Hint: define G as the event that the household income is above the indicated amount, N otherwise) (1.5 mark) b) List all the sample points in each of the following events: (3 marks) A. At least two households had incomes above $66,800. B. Exactly two households had incomes above $66,800. C. Exactly one household had an income less than or equal to $66,800. c) Given the definition of a median, calculate the probability for the three events defined in part (b). (1.5 marks) According to the Statistics Canada 2020 survey, the median after-tax income of Canadian households was $66,800 in the year 20201. That is, half of the Canadian households had income above this amount, and half had income equal to or below this amount. Suppose that four households are randomly selected and surveyed and that each one reveals whether its income was above $66,800 in 2020 or not. Based on the results of this random experiment, answer the following questions. a) Define the sample space for this experiment. List all the sample points in the sample space of this experiment. (Hint: define G as the event that the household income is above the indicated amount, N otherwise) (1.5 mark) b) List all the sample points in each of the following events: (3 marks) A. At least two households had incomes above $66,800. B. Exactly two households had incomes above $66,800. C. Exactly one household had an income less than or equal to $66,800. c) Given the definition of a median, calculate the probability for the three events defined in part (b). (1.5 marks)