QUESTION 6 a) The probability of Johan taking a bus to work is 0.25. If he takes a bus, the probability of late is 0.35. him being late for work is 0.65. If he does not take a bus, the probability of him being i) Construct a tree diagram for the above information. ii) Find the probability that Johan will not be late for work. (3 marks) (2 marks) iii) Find the probability of Johan taking the bus given that he is late for work. (3 marks) b) A team consists of 5 members to be formed from 10 students and 5 lecturers. Find the probability that the team will consist of: i) 2 students and 3 lecturers. (2 marks) ii) At least 3 students. (3 marks) c) The probability that Rudy passes Statistics is and the probability that he passes 10 .If the probability of passing both courses is find the probability that English is Rudy will pass at least one of these courses, (2 marks)