9709 P63 - Jun 2016 - Q5
3227
The heights of school desks have a normal distribution with mean 69 cm and standard deviation \(\sigma\) cm. It is known that 15.5% of these desks have a height greater than 70 cm.
(i) Find the value of \(\sigma\).
When Jodu sits at a desk, his knees are at a height of 58 cm above the floor. A desk is comfortable for Jodu if his knees are at least 9 cm below the top of the desk. Jodu's school has 300 desks.
(ii) Calculate an estimate of the number of these desks that are comfortable for Jodu.
Solutions locked. Please sign in with access to view them.