Higher June 2022 Paper 5 Q6
6 Morgan is playing a computer game.
They can score 0, 1, 2 or 3 points on each turn.
They record their scores for 100 turns.
The table shows the relative frequencies of their scores.
| Score | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Relative frequency | 0.08 | 0.42 | 0.38 |
(a) Complete the table. [2]
(b) Morgan says
I scored more than 160 points in total in my 100 turns.
Is Morgan correct?
Show how you decide. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [0].12 oe | 2 | M1 for 1 – (0.08 + 0.42 + 0.38) oe | Accept e.g. 12%, 12/100 oe M1 implied by 1 – 0.88 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 154 [points] and | 4FT | B3 for 154 or 118 + 3 × their 0.12 × 100 correctly evaluated or M2 for [0.08 × 0 × 100 + ] ([1 × ]0.42 × 100) + (2 × 0.38 ×100) + (3 × their 0.12 × 100) or better or M1 for 2 × 0.38 and 3 × their 0.12 or for one of ([1×]0.42 × 100), (2 × 0.38 × 100), (3 × their 0.12 × 100) | M2 for full method implied by 42 + 76 + 36 or 1.54 × 100 M1 implied by [0].76 and [0].36 or 1.54 or one of 42, 76, 36 |
| No/Morgan is not correct oe | FT dep on B3 for correct conclusion from their 0.12 | For conclusion accept e.g. 154 and No, 154 < 160 If FT from e.g. 0.22 in (a) then 184 and yes gets 4FT | |