VCE Mathematical MethodsPractice Examination 7

This paper covers

• Binomial distribution in a quality-control context: exact by-hand probabilities (Section A) and full CAS modelling with E(X), Var(X), conditional probability and minimum-sample-size (Section C)
• Sample proportions and approximate 95%/90% confidence intervals for a population proportion of defectives, including margin-of-error sample-size design
• Continuous random variables: constructing a probability density function, mean, median, variance and interval probabilities for a manufacturing dimension
• Core technology-free calculus and algebra: product/quotient differentiation, tangents, exact definite integrals, exponential/trigonometric equations, index and log laws, plus calculus optimisation of a cost model

Students are permitted to bring into the examination the materials normally allowed for this subject. Answer all questions in the spaces provided.

This is an ATARMAxxing practice paper. It is not an official examination and is not affiliated with, endorsed by, or produced by the VCAA, NESA or the QCAA.