Higher November 2020 Paper 1 Q2
2 Toy cars are made in a factory.
The toy cars are made for 15 hours each day.
5 toy cars are made every 12 seconds.
For the toy cars made each day, the probability of a toy car being faulty is 0.002
Work out an estimate of the number of faulty toy cars that are made each day.
(4)
| Scheme | Marks |
|---|---|
15 × 60 × 60 (= 54 000) oe or \(\dfrac{60}{12} \times 60 \times 15\) (= 4500) oe or \(5 \times \dfrac{60}{12} \times 60\) (= 1500) oe | M1 |
| ‘54000’ ÷ 12 × 5 (= 22 500) oe or ‘4500’ × 5 (= 22 500) oe or ‘1500’ × 15 (= 22 500) oe | M1 |
| ‘22 500’ × 0.002 oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 45 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: M2 for \(\dfrac{15 \times 60 \times 60 \times 5}{12}\) (= 22 500)
M1: dep on M2 for a complete method