17M.2.AHL.TZ2.H_1

pestleMathematicsAIHLPaper 217M· sl-4-5-probability-concepts-expected-numberssource ↗

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.

M17/5/MATHL/HP2/ENG/TZ2/01

One of the players is chosen at random. Find the probability that this player’s score was 5 or more.

[2]

Calculate the mean score.

[2]

Markscheme / solution

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

${\text{P}}(5{\text{ or more}}) = \frac{{29}}{{75}}\,\,\,( = 0.387)$ (M1)A1

[2 marks]

${\text{mean score}} = \frac{{2 \times 3 + 3 \times 15 + 4 \times 28 + 5 \times 17 + 6 \times 9 + 7 \times 3}}{{75}}$ (M1)

$= \frac{{323}}{{75}}\,\,\,( = 4.31)$ A1

[2 marks]

Examiners’ report

[N/A]