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Past Exam for STAT 4705 - Statistics for Engr with Glynn at Virginia Tech (VT)

Exam Information

Material Type:Exam 2
Professor:Glynn
Class:STAT 4705 - Statistics for Engr
Subject:Statistics
University:Virginia Polytechnic Institute And State University
Term:Spring 2004
Keywords:
  • The Independent
  • Independent
  • Distribution
  • Independent Sample
  • Binomial Distribution
  • No Correlation
  • Possible Values
  • Random Sample
  • Engineering
  • Probability.
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Sample Document Text

STAT 4705 Test II March 26, 2004 N 1; 1 . . An elevator is being designed to accommodate 10 people, and the nominal maximum / capacity is to be set at 1800 lb. It is estimated that the distribution of the weight of people who will be riding on this elevator can be modeled as a normal distribution with mean Jl = 160 lb and standard deviation (J" = 40 lb. If 10 people ride on this elevator then the total weight of these 10 people can be represented as T = L}~l Xi , where Xi is the weight of the ith person. (a) If 10 people ride on the elevator, and the weights of these 10 people are independent, find the probability that the total weight T will exceed the nominal capacity of 1800 lb. vtA -;: I 6 "(ib .1" Y :- Ljb"Q riz ::-,)") 1- f(z '-.~) - I - ,G q I~- -I~ I (b) Suppose that it is desirable to design the elevator with a nominal capacity, say c, such that the probability of the total weight of 10 people exceeding c is only .005. Find c. l-p(~ '- :-L) =,.OO~' X - Jb,o-O ...

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