Past Exam for STAT 400 - APPLIED PROB & STAT I at Maryland (UMD)

Exam Information

Material Type:Final
Subject:Statistics and Probability
University:University of Maryland
Term:Fall 1997
  • Central Limit Theorem
  • In/on/at a Place
  • The Independent
  • Following Problems
  • Response Time
  • Distribution
  • No Correlation
  • Law of Large Numbers
  • Random Variable
  • Random Sample
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STAT 400, Final Examination Dec. 18, 1997, Thur. 10:30 - 12:30 AM Show your work in each of the following problems. 1. (20%) Suppose the response time to a particular editing command of a computer time-sharing system is normally distributed with standard deviation cr = lEi millisec. (a) Construct a 90% confidence interval for the mean response time I-L based on a random sample of 25 response times with a sample average of 24.3. (b) Calculate the sample size n to ensure that the resulting 90% CI has a length 7. 2.(20%) Suppose the hardness of a certain alloy is normally distributed with mean I-L = 65 and standard deviation cr = 4.7. (a) A speciman is acceptable only if its harness exceeds 59. Compute the probability that a randomly chosen specimen has an acceptable hardness. (b) Derive the probability that eight or more of ten independently selected spel::imens have acceptable hardness? (Round off numberical values to the second decimal place.) 3.(20%) Let X be a random variable h...

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