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Further Statistics

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you test goodness of fit and independence using the chi-squared distribution?

Goodness of fit tests, contingency tables and tests for independence using the chi-squared statistic, expected frequencies, degrees of freedom, and Yates' correction.
A focused answer to the Edexcel A-Level Further Mathematics Further Statistics content on chi-squared tests, covering goodness of fit tests, contingency tables and tests for independence, calculating expected frequencies, choosing degrees of freedom, and applying Yates' correction.
12 min answer →

How do you describe a discrete random variable and compute its expectation and variance?

Discrete random variables and probability distributions, expectation and variance, the effect of linear coding, and expectation and variance of functions of a discrete variable.
A focused answer to the Edexcel A-Level Further Mathematics Further Statistics content on discrete probability distributions, covering discrete random variables and their distributions, expectation and variance, the effect of linear coding, and the expectation and variance of functions of a discrete random variable.
12 min answer →

How do the geometric and negative binomial distributions model waiting times until successes?

The geometric distribution as a model for the trial of the first success, the negative binomial distribution for the rth success, and their means and variances.
A focused answer to the Edexcel A-Level Further Mathematics Further Statistics content on the geometric and negative binomial distributions, covering the geometric model for the trial of the first success, the negative binomial model for the rth success, and the means and variances of both distributions.
12 min answer →

How do the Poisson and binomial distributions model counts, and when does one approximate the other?

The Poisson distribution as a model for random events, its mean and variance, the binomial distribution, the additive property of Poisson variables, and the Poisson approximation to the binomial.
A focused answer to the Edexcel A-Level Further Mathematics Further Statistics content on the Poisson and binomial distributions, covering the Poisson model and its mean and variance, the binomial distribution, the additive property of independent Poisson variables, and the Poisson approximation to the binomial.
12 min answer →