9) a) The academic service process commonly referred to as "registration" consists of several smaller processes: advising, registration for courses, fee assessment, financial aid calculations, and fee payment. Each of these processes operates independently and has a probability of success for each student. If the five probabilities of success which accompany these processes are 95%, 90%, 99%, 98%, and 99% respectively, what is the "reliability" of the entire process from the student's perspective? That is, what is the probability that all five will work allowing the student to successfully complete the registration? Calculate your result to 4 decimal places (0.xxxx).
b) A product has four components A, B, C, and D. The finished product must have a reliability of .95. The first three components come from a supplier, and have reliabilities of working correctly of 0.99, 0.98, and 0.995 respectively. The fourth component is being designed now. What must the reliability of component D be in order to meet the product reliability condition? Calculate your result to 4 decimal places (0.xxxx).
c) General Grant must send orders to General Butler. Carrier pigeons are the medium of choice. A single pigeon has a 0.7 probability of arriving at the proper destination in a timely fashion. How many pigeons, each carrying an identical set of orders, must Grant send in order for him to have 98% confidence (reliability) that the orders reach General Butler?