A mass-produced product assembled by a random selection of two identical components Part Al and Part A2 and fitting them into a slot in Part B. The machine producing the slot in Part B is maintained in statistical control with a mean slot width of 22.55 mm and a standard deviation of 0.15 mm. The process producing Part Al and Part A2 can also be kept in control at a desired mean value and a standard deviation of 0.05 mm. Assuming the data is normally distributed, determine the following: 

1. Assuming a minimum clearance of 0.20 mm is required, what must be the mean for the process producing Part Al and Part A2 if no more than 10% of the assemblies can have a clearance less than this value? 

2. During assembly, will there be cases for which there is no clearance? If so, what will be the expected percentage? 

3. What will be the expected percentage of having a clearance of 0.5 mm or larger