4400 Higher November 2008 Paper 3 Q3
3 Jamila spins this 5-sided spinner 50 times.
The table shows information about her scores.
| Score | Frequency |
|---|---|
| 1 | 10 |
| 2 | 9 |
| 3 | 3 |
| 4 | 17 |
| 5 | 11 |
(a) Work out the mean score. (3)
(b) Jamila is going to spin the spinner once more.
Find an estimate of the probability that her score will be
Find an estimate of the probability that her score will be
(i) 4
(ii) 1 or 3
(3)(c) Is the spinner fair?
Tick (✓) the appropriate box.
Yes ☐ No ☐
Give a reason for your answer. (1)
Tick (✓) the appropriate box.
Yes ☐ No ☐
Give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| \(1 \times 10 + 2 \times 9 + 3 \times 3 + 4 \times 17 + 5 \times 11\) or 10 + 18 + 9 + 68 + 55 or 160 | M1 |
| \(\dfrac{\text{“}160\text{”}}{50}\) | M1 |
| 3.2 | A1 |
| (3) |
Notes
M1: for at least 3 correct products and summing them
M1: (dep) for division by 50
A1: Accept 3 if \(\frac{160}{50}\) seen
| Scheme | Marks |
|---|---|
| (i) Answer: \(\frac{17}{50}\) | B1 |
| (ii) \(\frac{10 + 3}{50}\) or \(\frac{10}{50} + \frac{3}{50}\) | M1 |
| \(\frac{13}{50}\) | A1 |
| (3) |
Notes
B1: Accept 0.34 or 34%
A1: Accept 0.26 or 26%
| Scheme | Marks |
|---|---|
| ‘No’ ticked and eg The scores are not equally likely. 4 is most likely. | B1 |
| (1) | |
| (7 marks) |