In a manufacturing process that laminates several ceramic layers, 1% of the assembles are defective. Assume that the assemblies
are independent. a) What is the mean number of assemblies that need to be checked to obtain 5 defective assemblies?
b) What is the standard deviation of the number of assemblies that need to be checked to obtain 5 defective assemblies?
X = number of assemblies needed to obtain 5 defectives.
There are several information's already given in the question. based on those information's, the answer can be easily deduced.
a. It is already given that 1% are defective. It is required to find the number that is needed to be checked to get 5 defective products. Then 1% of X = 5 0.01X = 5 x = 5/0.01 = 500
b. <span>σ = square root [(<span><span><span><span>n^2</span>−1)/</span>12] = square root [(250000 - 1)/12] = square root [249999/12] = square root (20833.25) = 144.34 = 144 I hope the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.</span></span></span>
