4MA0 Foundation January 2018 Paper 2R Q16
16 The table gives information about the number of goals scored in each of 40 European Championship football matches.
| Number of goals scored | Frequency |
|---|---|
| 0 | 1 |
| 1 | 8 |
| 2 | 12 |
| 3 | 15 |
| 4 | 4 |
(a) Write down the modal number of goals scored. (1)
(b) Find the total number of goals scored. (2)
Francois has a recording of each of the 40 matches.
He is going to choose at random one of these matches to watch.
(c) Work out the probability that in this match more than 2 goals were scored. (2)
| Scheme | Marks |
|---|---|
| 3 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 0 × 1, 1 × 8, 2 × 12, 3 × 15, 4 × 4 or 0, 8, 24, 45, 16 | M1 |
| 93 | A1 |
| (2) |
Notes
M1: For at least 4 products (may not be evaluated.
A1: SCB1 for 94
| Scheme | Marks |
|---|---|
| \(\dfrac{15}{40} + \dfrac{4}{40}\) oe | M1 |
| \(\dfrac{19}{40}\) | A1 |
| (2) |
Notes
A1: oe
Eg 0.475
SCB1 for \(\dfrac{31}{40}\) or 0.775