The table shows the distribution of the distance (in km) covered by 40 hunters while
FURTHER MATHEMATICS
WAEC 2022
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | x | 9 | 2x | 1 |
If a hunter is selected at random, find the probability that the hunter covered at least 6km.
- A. \(\frac{3}{5}\)
- B. \(\frac{2}{5}\)
- C. \(\frac{3}{8}\)
- D. \(\frac{9}{40}\)
Correct Answer: A. \(\frac{3}{5}\)
Explanation
5+4+x+9+2x+1 = 40
19+3x = 40
3x = 21
x = 7
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | 7 | 9 | 14 | 1 |
The probability that the hunter covered at least 6km, means the hunter covered either 6km or 7km, or 8km.
24 hunters covered at least 6km
| 24 40 | = | 3 5 |
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