a) b) c) The probability of Johan taking a bus to work is 0.25. If he takes a bus, the probability of him being late for work is 0.65. If he does not take a bus, the probability of him being late is 0.35. i) Construct a tree diagram for the above information. (3 marks) ii) Find the probability that Johan will not be late for work. (2 marks) iii) Find the probability of Johan taking the bus given that he is late for work. (3 marks) 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) The probability that Rudy passes Statistics is % and the probability that he passes English is i. If the probability of passing both courses is 3, nd the probability that 5 5 Rudy will pass at least one of these courses