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Past Exam for ECON 321 - ECON STAT at Maryland (UMD)

Exam Information

Material Type:Exam 1
Professor:Staff
Class:ECON 321 - ECON STAT
Subject:Economics
University:University of Maryland
Term:Spring 1990
Keywords:
  • Probability Distribution
  • The Independent
  • Distribution
  • Random Variable
  • Binomial Random Variable
  • Observations
  • Simple Random
  • Random Sample
  • Following Statement
  • No Correlation
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Sample Document Text

. J ECON A21 2nd hourly (25 po 1 nts) SP(2.lN G- c/o 1. (4 points) Let X be a binomial random variable with n - 15, P - .60 A) Find peX . 8) B) Find peX ) 12) 2. (2 points) Let X be a binomial random variable with n - 30 p .. 3. Find pe15 < X < 25) 3. (4 points) Consider the following probability distribution X P(X -~) 2 . ~, 4 ;6 For a simple random sample of size 2 (X" )(2) drawn from this probability distribution, find . x, P(X), E(X), VeX) 4. (4 po~nts) Let X be a normal random variable with II .. 10 and a = 225, 5. a) Find P(X < 8) b) Find P(X > 13) c) Find k such that P(X < k) Q .90 d) Find k such that P(X > k) = ;90 (7 points) Consider two estimators of the population parameter II 111 1 12 Xl + 1/2 X 2 112 1 15 Xl + 4/5 X 2 where Xl and X 2 are the sample means from two independent random samples of size 100 and 400, respectively, drawn from the probability distributj20n of the random variable X, which has mean II and variab...

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