estion 4 (25 marks) a. Wayne Sharp has a system composed of three components in parallel. The components have the following reliabilities: R1 = 0.90, R2 = 0.95, R3 = 0.85 What is the reliability of the system?

b. A typical retail transaction consists of several smaller steps, which can be considered components subject to failure. A list of such components might include: Definition of failure Component Description Find product in proper size, colour, Can't find product etc. No lines open; lines too long: line experiencing difficulty 2 Enter cashier line Won't scan; item not on fi le: Scan product UPC for name, price, etc scans incorrect name or price 4 Calculate purchase total Wrong weight; wrong extension; wrong data entry: wrong tax 5 Make payment Customer lacks cash; check not acceptable; credit card refused 6 Make change Makes change incorrectly Page 12 of 16 7 Bag merchandise Damages merchandise while bagging, bag splits No receipt; unfriendly, rude, 8 Conclude transaction and exit or aloof clerk Let the eight probabilities of success be 92, 94, 99, 99, 98, 97, 95, and 96. What is the reliability of the system; that is, the probability that there will be a satisfied customer? (5 marks) ii. If you were the store manager, what do you think should be an acceptable value for this probability? (5 marks) iii. Which components would be good candidates for backup, which for redesign? marks) (5 c. What are the expected number of yearly breakdowns for the power generator at Orlando Utilities that has exhibited the following data over the past 20 years