Mathematics AA: PROBABILITY Topical Past Paper Questions

[Maximum mark:17] The lengths, in metres, of jumps in a long jump competition can be modelled by a continuous random variable X with probability density function f defined by: $$ f(x)=\left\{\begin{aligned}&0,&x 9\end{aligned}\right. $$ where $ a, b \in \mathbb{R} $, $ a, b \neq…

[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: 16] A farmer is growing a field of wheat plants. The height, $ H_{cm} $, of each plant can be modelled by a normal distribution with mean $ \mu $ and standard deviation $ \sigma $. It is known that $ \mathrm{P}(H 98.1)=0.434 $. (a) Find the probability that the hei…