MTH 2401 Prob/Stat
Spring 2022, 15 pts.
Print First & Last Name _____________________________
PROJECT 1
(due Friday, February 25, by 8:00 pm)
Please submit your solutions electronically via e-mail at
[email protected]
You may only use Adobe Acrobat (PDF) or MS Word. (Preferably PDF.) I cannot read
any other formats. Please note that after the above deadline, no paper will be accepted.
1
Explain in Example 5.8 (Chapter I, pages 39-40) of the Lecture Notes + how was obtained and , 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 32 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 133 wires. If the reliability of a single wire is
!Þ26 what is a minimal number of wires counted from 133 (or more) should that
cable have in order to maintain the reliability of the system to at least !Þ94? (10 pts)
1
Probability and Statistics MTH 2401
167
Applied Discrete Mathematics
168
Applied Discrete Mathematics
169
Applied Discrete Mathematics
170
Applied Discrete Mathematics
171
Applied Discrete Mathematics
172
Applied Discrete Mathematics
173
Applied Discrete Mathematics
174
Applied Discrete Mathematics
175
Applied Discrete Mathematics
176
Applied Discrete Mathematics
177
Applied Discrete Mathematics
178
Applied Discrete Mathematics
179
Probability and Statistics MTH 2401
232
Applied Discrete Mathematics
233
Applied Discrete Mathematics
234
Applied Discrete Mathematics
235
Applied Discrete Mathematics
236
Applied Discrete Mathematics
237
Applied Discrete Mathematics
238
Applied Discrete Mathematics
239
Applied Discrete Mathematics
240
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