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 (j = Ui millisec. ( a) Construct a 90% confidence interval for the mean response time fL 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% C1 has a length 7. 2.(20%) Suppose the hardness of a certain alloy is normally distributed with mean fL = 65 and standard deviation a = 4.7. (a) A speciman is acceptable only if its harness exceeds Ei9. Compute the probability that a randomly chosen specimen has an acceptable hardness. (b) Derive the probability that eight or more of ten independently selected specimens have acceptable hardness? (Round off numberical values to the second decimal place.) 3.(20%) Let X be a random variable havin...

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