Higher November 2017 Paper 6 Q4
4 Jeat is growing carrots from seed in his garden.
He plants 28 carrot seeds but only 12 grow.
Jeat says
The probability of one of my carrot seeds growing is \(\dfrac{3}{7}\).
(a) Use Jeat’s result to show that he is correct. [1]
(b) A farmer uses this probability to calculate how many carrot seeds he should plant to grow 10 000 carrots.
How many seeds should he plant?
........................................ seeds [2]
(c) Explain why it may not be sensible for the farmer to use Jeat’s experimental probability to calculate the number of seeds he should plant. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{12}{28} = \dfrac{3}{7}\) or \(\dfrac{3}{7}\) of 28 = 12 or 12 ÷ 28 = \(\dfrac{3}{7}\) | 1 | Alternative 12 ÷ 28 = 0.428571… and 3 ÷ 7 = 0.428571… | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Integer from 23000 to 23334 | 2 | M1 for 10 000 ÷ \(\dfrac{3}{7}\) oe If M0 then SC1 for figs 2333… seen | Accept integer from 23000 to 24000 after M1 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| The growing conditions on the farm may be different to the garden oe or Sample too small oe | 1 | Mere reference to factors that affect growth is insufficient | |