Past Exam for STAT 4105 - Theoretical Statistics with Terrell at Virginia Tech (VT)

Exam Information

Material Type:Exam 1
Class:STAT 4105 - Theoretical Statistics
University:Virginia Polytechnic Institute And State University
Term:Spring 2007
  • Immediately
  • Approaching
  • Combination
  • Combinations
  • In/on/at a Place
  • Permutation
  • Exclusive Or
  • Conditional
  • Total Number
  • Honor Pledge
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Stat 4105 First In-Class Exam February 15, 2007 Name: Honor Pledge: 1 1. (10 pts.) An expensive Valentine's gift is a necklace with a circular chain on which an aquamarine, an emerald, a diamond, a ruby and a topaz are mounted so they can slide freely all the way around the chain; but each jewel is mounted so it can only face one way (so you cannot flip the necklace over). You are free to string the jewels in any order. How many such necklaces are possible? (Hint: start counting at, for example, the aquamarine, which can have slid to anywhere on the chain. If you do this, you are pretending that the aquamarine can be in only one place, your starting position.) Since the acquamarine can be anywhere, rotate a necklace until the acquamarine is at the top of the circle. Now note that any possible sequence of the other four jewels may be encountered as you move clockwise around the necklace. There are, therefore, 4! = 24 possible neclaces. 2 2. (10 pts.) The 80 employees at a large factory must ...

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