There Are Three Companies That Produce a Critical Electronic Navigation

Multiple Choice

There are three companies that produce a critical electronic navigation component (ENC) used in the aerospace industry.These companies are Alice Manufacturing, Byte International, and Cognizant Technologies.Alice makes 85% of the ENCs, Byte makes 10%, and Cognizant makes the remaining 5%.The ENCs made by Alice have a 2.5% rate of defects, the ones made by Byte have a 4.0% rate of defects, and the ones made by Cognizant have a 6% rate of defects.If an ENC is randomly selected from the general population of ENCs, the probability that it was made by Alice is _______.If this ENC is later tested and found to be defective, the probability that it was made by Alice is _______.

A) 0.15; 0.85
B) 0.85; 0.85
C) 0.85; 0.77
D) 0.85; 0.76
E) 0.85; 0.75