2.A consumer electronic retailer sells three brands of TV, brand A, B, and C. A two-year manufacturer's warranty is offered on all brands. Data on the last 10,000 sales are summarized in the table below, showing the brand and whether it needs repair before the warranty period is over.

	Brand A	Brand B	Brand C	Total
Repair	1,250	350	75	1,675
No Repair	3,750	3,150	1,425	8,325
Total	5,000	3,500	1,500	10,000

One TV is to be selected at random. Assuming the past 10,000 sales above are representative of the population of all sales. Calculate the probability that:

a. it needs warranty repair. [1 mark]

b. it needs warranty repair, and it is brand A. [1 mark]

c. it needs warranty repair given it is brand A. [1 mark]

d. Are the events "Brand A" and "Need Repair" independent? Justify your answer. ]2 marks] e. it is brand C or it needs repair. [2 mark]