Further Mathematics 9231: Further work on distributions Topical Past Paper Questions
Cambridge AS & A Level Further Mathematics (9231) past-paper questions on Further work on distributions, free. This topic is occasionally examined across 21 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
A statistician believes that the number of telephone calls received by an advice centre in a 10-minute interval can be modelled by the Poisson distribution Po(1.9). The number of calls received in a randomly chosen 10-minute interval was recorded on each of 100 days. The results…
The random variable X has probability density function f given by $$ \mathrm{f}(x)=\left\{\begin{aligned}&\frac{1}{30}\bigg(\frac{8}{x^{2}}+3x^{2}-14\bigg)\quad&2\leq x\leq4,\\ &0&otherwise.\end{aligned}\right. $$ (i) Find the distribution function of X. [3] The random variable Y…
The random variable T is the lifetime, in hours, of a particular type of battery. It is given that T has a negative exponential distribution with mean 500 hours. (i) Write down the probability density function of T. [1] (ii) Find the probability that a randomly chosen battery of…
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