| Date | May 2017 | Marks available | 2 | Reference code | 17M.2.hl.TZ2.1 |
| Level | HL only | Paper | 2 | Time zone | TZ2 |
| Command term | Calculate | Question number | 1 | Adapted from | N/A |
Question
There are 75 players in a golf club who take part in a golf tournament. The scores obtained on the 18th hole are as shown in the following table.
One of the players is chosen at random. Find the probability that this player’s score was 5 or more.
[2]
a.
Calculate the mean score.
[2]
b.
Markscheme
\({\text{P}}(5{\text{ or more}}) = \frac{{29}}{{75}}\,\,\,( = 0.387)\) (M1)A1
[2 marks]
a.
\({\text{mean score}} = \frac{{2 \times 3 + 3 \times 15 + 4 \times 28 + 5 \times 17 + 6 \times 9 + 7 \times 3}}{{75}}\) (M1)
\( = \frac{{323}}{{75}}\,\,\,( = 4.31)\) A1
[2 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.
