(i) Attempt the following questions. Show all necessary steps. Read the questions carefully. (i) Any copied material from intenet or your class fellows will get you ZERO marks. Q. 1 The HR department...

Extracted text: (i) Attempt the following questions. Show all necessary steps. Read the questions carefully. (i) Any copied material from intenet or your class fellows will get you ZERO marks. Q. 1 The HR department of a large company compiled the following fictitious data regarding the income and education of its employees. Income OR 12000 or below Above OR 12000 High School graduate University graduate 2050 830 400 720 Let A be the event that a rando chosen employee has a University degree (graduate), and let B be the event that the chosen employee's income is more than OR 12000. (a) Find each of the following probabilities. (Round answers to four decimal places). (i) P(A) (iї) P (B) (iii) P(A n B) (iv) P(B|A) (v) P(B|A©) (b) Are the events A and B independent events? * Ma