1. **Problem statement:** We are given that 7% of teachers are computer science teachers, and the rest are other teachers. Among the other teachers, 94% use MS-Office. Among the computer science teachers, 86% use other office packages, so the rest use MS-Office. We want to find the total percentage of teachers who use MS-Office.
2. **Define variables:**
- Let $p_{CS} = 7\% = 0.07$ be the proportion of computer science teachers.
- Let $p_{Other} = 1 - p_{CS} = 0.93$ be the proportion of other teachers.
- Among other teachers, $p_{MS|Other} = 94\% = 0.94$ use MS-Office.
- Among computer science teachers, $p_{OtherOffice|CS} = 86\% = 0.86$ use other office packages, so $p_{MS|CS} = 1 - 0.86 = 0.14$ use MS-Office.
3. **Formula:** Total percentage using MS-Office is the weighted sum:
$$
p_{MS} = p_{Other} \times p_{MS|Other} + p_{CS} \times p_{MS|CS}
$$
4. **Calculate:**
$$
p_{MS} = 0.93 \times 0.94 + 0.07 \times 0.14
$$
5. **Intermediate calculation:**
$$
0.93 \times 0.94 = 0.8742
$$
$$
0.07 \times 0.14 = 0.0098
$$
6. **Sum:**
$$
p_{MS} = 0.8742 + 0.0098 = 0.884
$$
7. **Convert to percentage and round to one decimal place:**
$$
0.884 \times 100 = 88.4\%
$$
**Final answer:**
**88.4 % of teachers use MS-Office according to the estimates.**
Ms Office Percentage 9Cb8E6
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