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Lecture Notes for 1016 351 - Probability with Whelan at RIT (RIT)

Notes Information

Material Type:Class Note
Professor:Whelan
Class:1016 351 - Probability
Subject:Mathematics & Statistics
University:Rochester Institute of Technology
Term: 2010
Keywords:
  • Continuous Random Variable
  • Density Function
  • Random Variable
  • Distribution
  • Expected Value
  • Probability.
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1016-351-03 Probability In-class exercise 2010 January 19 Consider a continuous random variable with the uniform probability density function f(x) = braceleftBigg 1 B?A A < x < B 0 otherwise a. Verify that f(x) is normalized, i.e., that integraldisplay ? ?? f(x)dx = 1 b. Sketch the graph of f(x). Label the axes. 1 Consider a continuous random variable with the uniform probability density function f(x) = braceleftBigg 1 B?A A < x < B 0 otherwise c. Find the cumulative distribution F(x). d. Sketch the graph of F(x). Label the axes. e. Calculate the expected value E(X) in terms of A and B. f. Calculate the variance V(X) in terms of A and B. 2 ...

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