If the reliability of a single wire is 0.15, what is a minimal number of wires counted from 70 a cable must have in order to maintain the reliability of the cable (and thus of the system) to at least 0.98?

DISCUSSION QUESTION

1 Explain in Example 5.8 (Chapter I, pages 45-46) of the Lecture Notes (a) how A was obtained and (b) what went wrong with the Poisson approximation. (5 pts) Problem #2 is computational, and it should be rendered using the R-programming (no other language or tool). Provide me not only with an answer, but also with the source code of the program. You must copy and paste your program code from the R console into your paper and provide me with snapshots of your screen (embedded in the paper) as evidence that you really ran the program and no one else. Otherwise, the problem won’t be graded. Also, your work must be rendered independently, without any collaboration with others. A joint or similar work won’t be accepted. Hint. See Example 5.3 on page 39-41 and a source code in the notes.

2 A parallel reliability system consists of cables of wires supporting a bridge. Each cable must have at least 70 wires. If the reliability of a single wire is 0.15, what is a minimal number of wires counted from 70 a cable must have in order to maintain the reliability of the cable (and thus of the system) to at least 0.98? (10 pts)