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4 votes
Một nhà máy có 3 phân xưởng, tỉ lệ là 20%, 30%, 50%. tỉ lệ sản phẩm loại một của các phân xưởng lần lượt là 90%, 85%, 80%

lấy ngẫu nhiên 1 sản phẩm của nhà máy, tính xác suất để được sản phẩm loại một

User Vahe Shak
by
6.8k points

2 Answers

5 votes

Final answer:

To find the probability of getting a type one product, we need to multiply the probability of selecting each factory by the probability of that factory producing a type one product, and then sum those probabilities. The probability of getting a type one product is 0.835 or 83.5%.

Step-by-step explanation:

To find the probability of getting a type one product, we need to multiply the probability of selecting each factory by the probability of that factory producing a type one product, and then sum those probabilities. The probability of selecting each factory is 20%, 30%, and 50%, respectively. The probability of each factory producing a type one product is 90%, 85%, and 80%, respectively.

So, the probability of getting a type one product is:

(20% * 90%) + (30% * 85%) + (50% * 80%) = 0.2 * 0.9 + 0.3 * 0.85 + 0.5 * 0.8 = 0.18 + 0.255 + 0.4 = 0.835.

Therefore, the probability of getting a type one product is 0.835 or 83.5%.

User Alistair Weir
by
6.2k points
2 votes

Answer:

83.5%

Step-by-step explanation:

90% × 20% + 85% × 30% + 80%× 50%

User Liloka
by
6.6k points