In: Statistics and Probability
let the continuous random variable D denotes the diameter of the hole drilled in an aluminium sheet. The target diameter to be achieved is 12.5mm. Random disturbances in the process often result in accuracy.
historical data shows that the distribution of D can be modelled by the PDF (d)= 20e-20(d-12.5), d>=12.5. If a part with diameter >12.6mm needs to be scrapped, what is the proportion of those parts? what is the CDF when the diameter is of 11mm? what is your conclusion regarding the proportion of scarps?
The proportion of those parts is 13.53%
The out of 100 diameter of hole , there are 13.53 of them are are greater than 12.6mm