Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
Heights for students at Mainland college follow a normal distribution with mean 148 cm and standard deviation 8 cm.
(i)[3]
For a Mainland student picked at random, the chance of a height below $h$ cm is 0.67. Find the value of $h$.
(ii)[4]
120 Mainland students are selected at random. Find the number of these students that would be expected to have a height within half a standard deviation of the mean.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applying standardisation to obtain $z = \pm 0.44$” …