# Past Exam for STAT 4444 - Applied Bayesian Statistics with Holtzman at Virginia Tech (VT)

## Exam Information

 Material Type: Exam 1 Professor: Holtzman Class: STAT 4444 - Applied Bayesian Statistics Subject: Statistics University: Virginia Polytechnic Institute And State University Term: Spring 2007 Keywords: The IndependentExclusive OrProbabilitiesSensitivityIndependenceProbability SpaceTotal ProbabilitySpecificityPosterior ProbabilityManufacturer

## Sample Document Text

Print Name: KEY KEY Instructions. Please print your name at the top of each page now. This is a closed-book, closed-note, 75 minute test. You may use a calculator but you may not use scratch paper. Show all work on these pages or on the backs. Pledge below and print your name at the top of each page. Honor Pledge. I pledge that I have neither given nor received help on this test. Signature ___________________________________________________________________ Binomial Distribution. If the random variable X is binomially distributed with probability ? if "success" for each of n independent trials, then {}() ()1 , 0,1,..., Pf 0, elswhere nx x n x n Xx x x ?? ? ? ?? ?= ? ?? == = ? ?? ? ? where the binomial coefficient () ()( ) () 11 ! ,1 !! 11 n nn n x n nx x xn x xx ??+?? == ? ?? ?? ?? " " 3 1= and 0! = 1 The binomial coefficients are also given in Pascal's triangle, which is based on the facts that 1 0 n ?? ...

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