Answer:
To manufacture 1350 usable components you should order 1382 components.
Step-by-step explanation:
In this problem we have to calculate the proportion of products that are within specifications, according to the mean anda standard deviation of the process.
The limit value for the impedance X is 2.25 ohms. Products within specifications have an impedance smaller than 2.25 ohms.
The z-value to calculate the probability of X<2.25 is
![z=\frac{X-\mu}{\sigma}=\frac{2.25-2.15}{0.05}=\frac{0.10}{0.05}=2](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B2.25-2.15%7D%7B0.05%7D%3D%5Cfrac%7B0.10%7D%7B0.05%7D%3D2)
Then we have that
![P(X](https://tex.z-dn.net/?f=P%28X%3C2.25%29%3DP%28z%3C2%29%3D0.97725)
It means than for every 1000 products, 977 are within specifications and 23 are not.
To manufacture 1350 usable components, we can calculate
![N=\frac{1350}{0.977}= 1382](https://tex.z-dn.net/?f=N%3D%5Cfrac%7B1350%7D%7B0.977%7D%3D%201382)
To manufacture 1350 usable components you should order 1382 components.