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Probability and Statistics

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4 Continuous Random Variables and Probability Distributions

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4.2 Cumulative Distribution Functions and Expected Values

4.2 Cumulative Distribution Functions and Expected Values

Oct 26, 20241 min read

Contents

  • 4.2.1 The Cumulative Distribution Function
  • 4.2.2 Using F(x) to Compute Probabilities
  • 4.2.3 Obtaining f(x) from F(x)
  • 4.2.4 Percentiles of a Continuous Distribution
  • 4.2.5 Expected Values
  • EXERCISES Section 4.2 (11-27)

Introduction

Several of the most important concepts introduced in the study of discrete distributions also play an important role for continuous distributions. Definitions analogous to those in Chapter 3 involve replacing summation by integration.


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