Question: A particular Statistics course has the following components: a final exam, a lab,

several take-home assignments, 2 term tests, and quizzes. The weights

are 30% (exam), 10% (lab), 10% (assgt), 15% (1^st test), 20% (2^nd test),

and 15% (quizzes).

a) Student A gets the following marks: 60% (exam), 100% (labs), 100% (assgts), 50% (1^st test), 75% (2^nd test), 80% (quizzes). Calculate this student’s weighted mean mark. [2 marks]

b) Student B has the following marks before the exam:100% (labs),

100% (assgt), 40% (1^st test), 70% (2^nd test), and 75% (quizzes).

(i) What exam percentage does student B need to get a total mark of 75%? [2 marks]

(ii) Can student B get a total mark of 85%? Clearly explain your reasoning. [2 marks]