Question

На сборку механизма поступают детали с двух автоматов. Первый автомат дает 1,5% брака, второй 1%. Найти вероятность попадания на сборку бракованной детали, если в первого автомата поступило 2000 деталей, а со второго 1500.

Answer 1

Нужно посчитать отдельно.
1) 1000/1,5 % = 15 %
2) 1000 / 1 % = 10 %
3) 15/100 + 10/100 = 25/100

Answer 2

Calculation of the Probability of Defective Parts in Assembly

To find the probability of getting a defective part in the assembly, we need to consider the defect rates of the two machines and the number of parts received from each machine.

Let's denote the defect rate of the first machine as 1.5% (0.015) and the defect rate of the second machine as 1% (0.01). The number of parts received from the first machine is 2000, and from the second machine is 1500.

To calculate the probability of getting a defective part, we can use the following formula:

Probability of Defective Part = (Number of Defective Parts) / (Total Number of Parts)

Let's calculate the probability step by step:

1. Calculate the number of defective parts from the first machine: - Number of parts received from the first machine: 2000 - Defect rate of the first machine: 1.5% (0.015) - Number of defective parts from the first machine = 2000 * 0.015 = 30

2. Calculate the number of defective parts from the second machine: - Number of parts received from the second machine: 1500 - Defect rate of the second machine: 1% (0.01) - Number of defective parts from the second machine = 1500 * 0.01 = 15

3. Calculate the total number of parts received: - Total number of parts received = Number of parts from the first machine + Number of parts from the second machine - Total number of parts received = 2000 + 1500 = 3500

4. Calculate the probability of getting a defective part: - Probability of Defective Part = (Number of Defective Parts) / (Total Number of Parts) - Probability of Defective Part = (30 + 15) / 3500 = 45 / 3500 ≈ 0.012857

Therefore, the probability of getting a defective part in the assembly is approximately 0.012857 or 1.2857%.

Please note that the calculations are based on the given defect rates and the number of parts received from each machine.