Question 4 From the past record, three out of forty-five faulty electronics devices will be detected during the quality assurance inspection. In a particular day, a quality assurance officer randomly selected 25 electronics devices for inspection. (a) Estimate the number of faulty devices. (2 marks) (b) Calculate the probability that (i) the first faulty device is found on the sixth inspection, (3 marks) (ii) the third defective device is found on the eighth inspection. (3 marks) (iii) the officer needs to check at least nine electronics devices in order to detect the first faulty device. (2 marks) (TOTAL: 10 marks) 2