SEHH1028 Elementary Statistics - 2021/22 Semester Two - Assignment 2 Question 1 20 marks The following table summarizes the profile of 500 candidates applied for a position in a company. Discipline Science Health Engineering Qualification Bachelor's Degree 125 -R(1 16) 90 100 - R (91 ) No Bachelor's Degree 75 60 + (2XR) 78) 50 Let B be the event that a randomly selected candidate has bachelor's degree qualification. Let S, H and E be the events that a randomly selected candidate is in Science, Health and Engineering discipline respectively. (a) Find the probability that a randomly selected candidate does not have bachelor's degree qualification and is not in Engineering discipline. Correct your answer to 3 decimal places. (4 marks) (b Find the probability that a randomly selected candidate does not have bachelor's degree qualification or is in Health discipline. Correct your answer to 3 decimal places. (4 marks) (c) It is known that a randomly selected candidate has Bachelor's degree qualification, what is the probability that he/she is in Science discipline? Correct your answer to 3 decimal places. (4 marks) (d) It is known that a randomly selected candidate does not have Bachelor's degree qualification, what is the probability that he/she is in Science discipline. Correct your answer to 3 decimal places. (4 marks) (e) By using the results in part (c) and (d), explain if event B and event S are independent or dependent. (4 marks)