SOUTH OCEAN 71PM NOT 1 AM ZAM ZAM 4AM BAM BAM TA TIME ZONES Question 4 (8 marks) Kellie looked at another random sample of 50 students. She found that 30 had part time jobs (P), 35 went to university (U) and 10 did neither. a) Represent this information in the following two way table 2 marks P. P' Total U 10 35 U' 15 10 15 Total 30 20 50 b) How many students went to university and had a part time job? 1 mark 10 c) What is the probability that a student went to university? 1 mark Notation d) What is the probability that a student had a part time job and didn't go to university? 1 mark 15/ 50 = 3/ 10 e) Is it more likely that a student has a part time job and goes to university, or does neither? Support your answer with mathematical evidence. N = Neither 2 marks 10 7-= ] B N 50 JO P= Part time Job U = University BI both Conclusion? f) Given that a student has a part time job, what is the probability that they went to university? 1 mark 25_ 5 30 - 6 Pr = =