In a Statistics and Probability class, there are 22 students majoring in Actuarial Science (AS) and 18 students majoring in Computer Science (CS). 12 of the AS students are female, and 14 of the CS students are male. If a student is randomly selected to meet the Dean, what is the probability of i) selecting a female or an AS student? ii) selecting a CS student given that he is a male? iii) Then. Justify whether events "Male student" and "CS student" are independent. (8 marks)
