Question

На сборку поступают детали с трех конвейеров. Первый конвейер дает 0,3% брака; второй-0,2%; третий-0,4%. С первого конвейера на сборку поступило 1000 деталей; со второго-2000; с третьего-2500. 1)Найти вероятность попадания на сборку бракованной детали. 2) На сборку попала бракованная деталь. Найти вероятность, что она от первого конвейера.

Answer 1

Первое выражение: 1000*0,003=3 бракованных деталей с первого конвейера. Второе:000*0,002=4 бракованных детали со 2 конвейера.Третье:2500*0,004=10 бракованных деталей с третьего конвейера.Вероятность попадания бракованной детали =17/5500≈0,003≈0,3%2)0,3/0,9=≈33%
как-то так:)

Answer 2

Calculation of the Probability of Defective Parts

To calculate the probability of a defective part, we need to consider the defect rates of each conveyor and the number of parts received from each conveyor.

Given: - First conveyor defect rate: 0.3% - Second conveyor defect rate: 0.2% - Third conveyor defect rate: 0.4% - Number of parts received from the first conveyor: 1000 - Number of parts received from the second conveyor: 2000 - Number of parts received from the third conveyor: 2500

To find the probability of a defective part, we can sum up the products of the defect rates and the number of parts received from each conveyor, and divide it by the total number of parts received.

Let's calculate it step by step:

1. Calculate the total number of parts received: - Number of parts received from the first conveyor: 1000 - Number of parts received from the second conveyor: 2000 - Number of parts received from the third conveyor: 2500 - Total number of parts received: 1000 + 2000 + 2500 = 5500

2. Calculate the total number of defective parts: - Number of defective parts from the first conveyor: 0.3% of 1000 = 0.003 * 1000 = 3 - Number of defective parts from the second conveyor: 0.2% of 2000 = 0.002 * 2000 = 4 - Number of defective parts from the third conveyor: 0.4% of 2500 = 0.004 * 2500 = 10 - Total number of defective parts: 3 + 4 + 10 = 17

3. Calculate the probability of a defective part: - Probability of a defective part = Total number of defective parts / Total number of parts received = 17 / 5500 ≈ 0.0031

Therefore, the probability of a randomly selected part being defective is approximately 0.0031.

Calculation of the Probability of a Defective Part Being from the First Conveyor

To calculate the probability of a defective part being from the first conveyor, we need to consider the number of defective parts from the first conveyor and the total number of defective parts.

Given: - Number of defective parts from the first conveyor: 3 (calculated earlier) - Total number of defective parts: 17 (calculated earlier)

To find the probability, we can divide the number of defective parts from the first conveyor by the total number of defective parts.

Let's calculate it:

1. Calculate the probability of a defective part being from the first conveyor: - Probability of a defective part being from the first conveyor = Number of defective parts from the first conveyor / Total number of defective parts = 3 / 17 ≈ 0.1765

Therefore, the probability of a randomly selected defective part being from the first conveyor is approximately 0.1765.

Please let me know if there is anything else I can help you with!