a) A product has four components A, B, C, and D. The finished product must have a reliability of .95. The first three c

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a) 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).
b) 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?