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Cambridge AS & A Level Mathematics

6Probability & Statistics 2 (Paper 6)

Probability & Statistics 2 (Paper 6) in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Syllabus section215 practice questions12 lessons

Overview

A Level only. Assumes Paper 5 and the calculus of Paper 3.

In this topic

Lessons

  • Poisson and normal approximations

    40 min

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  • The Poisson distribution

    45 min

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  • Linear combinations of random variables

    45 min

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  • Continuous random variables and probability density functions

    50 min

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  • Confidence intervals for a mean and a proportion

    45 min

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  • Populations, samples and sampling methods

    40 min

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  • The distribution of the sample mean and the central limit theorem

    45 min

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  • Unbiased estimates of the population mean and variance

    40 min

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  • Hypothesis tests for a binomial proportion and a Poisson mean

    50 min

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  • Hypothesis tests for a population mean (z-tests)

    45 min

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  • The language of hypothesis testing

    45 min

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  • Type I and Type II errors

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Probability & Statistics 2 (Paper 6): sample question

1 mark

The random variable XX has pdf f(x)=kxf(x) = kx for 0≤x≤40 \le x \le 4 and f(x)=0f(x) = 0 otherwise. Find the value of kk.

Only if the answer has a unit, e.g. cm or km/h.

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