Evaluate which of the processes would be capable of

Question

A customer requires that a component shaft is manufactured with a diameter of 50mm 

Your company has two processes one is a precision grinding machine with a standard deviation of 0.0011mm, the other is a CNC machine that has a standard deviation of 0.0035mm

1. Evaluate which of the processes would be capable of producing the component within the customer's specification. Use appropriate calculations and control charts to support your statement.
2. Record the variations you would expect to witness during the manufacturing operation. Use appropriate tables, calculations and control charts to support your assumptions.