You drill a hole in a sheet metal component, and then you insert a shaft through the hole. The shaft clearance is equal to the difference of the radius of the hole and the radius of the shaft. Components with clearances larger than 0.8mm must be scrapped.

a) Discuss the type of random variable the experimental process represents and hence, which distribution best fit the model above.

b) Can the proportion of components scrapped be estimated to be greater than 1? Give reasons

c) Estimate the probability of the event that you drill a hole in a metal sheet and the event that you manufacture computer chips at the same time. Comment on your estimate if any.