9) E
1 – Correct
Number of offenders reconvicted after 2 years = 55% of 43,000 = 23650 ≈ 24,000
Number of offenders reconvicted after 1 year = 43% of 43,000 = 18490 ≈ 19,000
Percentage = (19000 ÷ 24000) x 100 ≈ 79%
So the percentage is over 77%.
2 – Wrong
Total number of reconvictions (from previous question’s calculation) = 473,000
Reconvictions in year 2 = (43000 ÷ 100) x (348 – 185) = 430 x 163 = 70,090 ≈ 70,100
Reconvictions in year 3 = (43000 ÷ 100) x (499 – 348) = 430 x 151 = 64,930 ≈ 65,000
Total number of reconvictions in years 2 and 3 = 70100 + 65000 = 135,000
Fraction = (135,000 ÷ 473,000) ≠ ⅓
3 – Correct
Number of reconvictions in first year = (43,000 ÷ 100) x 185 = 79, 550
So this is more than 77,000 reconvictions.
Since statements 1 and 3 are correct, E is the answer.