The thickness of metal plates made by a particular machine a

The thickness of metal plates made by a particular machine are normally distributed with a mean of 4.3 mm and a coefficient of variation of 0.00814. Define the variable of interest and give the values of its parameters. The thickness must be between 4.24 and 4.33 mm to mate properly in assembly. What is the probability that a plate is NOT within the tolerances? To check the process, a sample of 5 plates was taken. If more than 1 plate is out of tolerance, the process will be recalibrated. What is the probability the process will be recalibrated? Identify the variable of interest and its distribution including the parameters. Now find the probability the process will be recalibrated. It has been decided that the distribution of thickness is better modeled by the lognormal distribution. Identify the variable of interest and its distribution including the parameters, Is the probability of being out of tolerance greater or smaller than when the distribution was modeled as Gaussian?

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