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m balls
n balls
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MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
MTH 4202 Stochastic Models
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1
Explain in Example 5.8 (Chapter I, pages 45-46) of the Lecture Notes (a) how
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 any
other language or tool). Please provide me not only with an answer, but also with the
source code of the program. You must copy and paste your code from the R console to
your paper and give me snapshots of your screens as an 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 will be cancelled. Hint. See Example 5.3 on page 39-41 and a source code in
the notes.
2
Suppose a parallel reliability system consists of cables of wires holding a bridge and
that one of them must have at least 90 wires. If the reliability of a single wire is 0.25
what is a minimal number of wires counted from 90 (or more) should that cable
have in order to maintain the reliability of the system to at least 0.95? (10 pts)
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