Mathematics AA: STATISTICS Topical Past Paper Questions

[Maximum mark:7] A garden centre sells seeds for two varieties of sunflowers: large and giant. The heights of large sunflowers are normally distributed with mean $ \mu $ and standard deviation $ \sigma $. It is known that 25% of large sunflowers have a height of over 180 cm. (a)…

[Maximum mark: 15] The following table shows the population of Canada t years after the year 2000. A student uses linear regression to model the population of Canada using these data. The student model is $p = at + b$. (a) (i) Write down the value of $a$ and the value of $b$. (ii…

[Maximum mark: 5] The random variable $X$ is such that $X \sim B(25, p)$ and $\mathrm{Var}(X) = 5.75$. (a) Find the possible values of $p$. The random variable $Y$ is such that $Y=1-2X$. (b) Find $ \operatorname{Var}(Y) $.