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Quiz for STT 351 - Prob & Statistics Engineering with Lepage at Michigan State (MSU)

Quiz Information

Material Type:Quiz 1
Professor:Lepage
Class:STT 351 - Prob & Statistics Engineering
Subject:Statistics and Probability
University:Michigan State University
Term:Fall 2008
Keywords:
  • Total Probability
  • Engineering
  • Probability.
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ifJ I351 -OO'/ ?K~iy 1 1. Make a complete tree diagram for the following information: ¢' . P(OIL) = 0.1 \ ~ 7) "'.-:r p (-r II 0\'-1 = G 1-;C' I) ./ ~(-,<\O\ . / ~~\-:'(' 7f:To 'P( - (\ t:>\l.") " C.I,)C '0) , '(-/OJ'~ P(+ lOlL) = 0.7 P(+ I no OIL) = 0.2 Pro ~l""\\'l\.'l\.""OO,\~C)·,1-pC" (\I\b tI\L) '" (,'1')(.1-) oOf0~ ~ . ·7 ~~ F'('- n 'M:;C\l.,.)" (,'f)(,e.) Identify events like OIL+ in the tree and their proba~ill~es (don't reduce). 2. From your tree detrmine \ a. P(-I no OIL) ==-\. 5 '" "b~/U 4. A random equal probability with-repl sample of n = 400 has r s x = 16.8 s = 12.4 ~)( ±: 1.0 1\71 .c q5"l. . l'2A \ a. Which interval (method) covers population,u around 6~% of time? = \1.0.'0+ ;20 "- 06.8 ± 0.6~ 16.8 ± 1.96 0.62 16.8 ± 0.031 16.8 ± 1.96 X 0.031..->-=- \ (0, '2:. ~ . W 2. . eX;;:;, 6-!)oj;jJ!-- No? fer.? 2 -'-'-~--1 b. t eJlst{6, 10, l4} but;rOnotredu~~:~-<::'j~J/) , ~<= t; (xc-x)," ::: [(0 -~ ... + (\D-~Y-\-(~~):""l]\. 2 '\ V\-\ So-I ' 5. ...