Question 1) (5+5 = 10 marks) Supplier A and Supplier B produce two types of parts: simple parts and complex parts. In particular, Supplier A produces 1000 simple parts and 1000 complex parts, and Supplier B produces 1600 simple parts and 400 complex parts. All these parts are evaluated for conformance to specifications (i.e., defective or not). The proportions of defective parts of each type are shown in the following table. Number of defective Number of defective Total simple parts complex parts Supplier A 2 10 12 Supplier B 4 6 10 a) Given all the parts by Suppliers A and B, what is the probability that a part conforms to specifications (i.e., non-defective)? SIGNATURE: b) What is the probability that a part conforms to specifications given that this part is a complex part