Question

На сборку поступают детали из трёх заготовительных цехов. Известно, что первый цех даёт 3% брака, второй -2%, третий-1%. Найти вероятность попадания на сборку бракованной детали, если каждый цех поставляет, соответственно, 500, 200 и 300 деталей

Answer 1

из первого завода 15/500=0,03

из второго завода 2/200=0,01

из третьего завода 1/300=0,003

Перемножив получим вероятность брака с трех заводов: 0,03*0,01*0,003=10^-6

Answer 2

Если 500 то 30 дет
если 200 то 12 дет
если 300 то 18 дет

Answer 3

Calculation of the Probability of Defective Parts

To calculate the probability of receiving a defective part during assembly, we need to consider the defect rates of each of the three manufacturing departments and the number of parts supplied by each department.

Let's denote the defect rates of the first, second, and third departments as 3%, 2%, and 1% respectively. The number of parts supplied by each department is 500, 200, and 300 respectively.

To find the probability of receiving a defective part, we can calculate the weighted average of the defect rates based on the number of parts supplied by each department.

The calculation can be done as follows:

1. Calculate the total number of parts supplied by all departments: - First department: 500 parts - Second department: 200 parts - Third department: 300 parts

Total parts = 500 + 200 + 300 = 1000 parts

2. Calculate the total number of defective parts from all departments: - First department: 3% of 500 parts = 0.03 * 500 = 15 defective parts - Second department: 2% of 200 parts = 0.02 * 200 = 4 defective parts - Third department: 1% of 300 parts = 0.01 * 300 = 3 defective parts

Total defective parts = 15 + 4 + 3 = 22 defective parts

3. Calculate the probability of receiving a defective part: - Probability = Total defective parts / Total parts - Probability = 22 / 1000 = 0.022

Therefore, the probability of receiving a defective part during assembly is 0.022 or 2.2%.

Please note that the calculations are based on the given defect rates and the number of parts supplied by each department.