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Continuous random variables and the normal distribution — Question 234

Original QCE Vault practice · 5 marks

Q234 · Practice questionTechnology-activeComplex familiar5 marks

QUESTION 234 (5 marks)

Scores are approximately N(68,122)N(68,12^{2}). A scholarship is awarded to the top 8%8\% of students.
Original diagram for Mathematical Methods Paper 2 question 15
a)
Find the zz-value cutting off the upper 8%8\% (use technology).
[2 marks]
b)
Find the corresponding score cutoff.
[2 marks]
c)
Explain one limitation of using the normal model for a bounded test score.
[1 mark]
Question linkSyllabus coverage

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