3-1 Discrete Random Variables 3-1 Discrete Random Variables

3-1 Discrete Random Variables 3-1 Discrete Random Variables

3-1 Discrete Random Variables 3-1 Discrete Random Variables Example 3-1

3-2 Probability Distributions and Probability Mass Functions

Figure 3-1 Probability distribution for bits in error. 3-2 Probability Distributions and Probability Mass Functions

Figure 3-2 Loadings at discrete points on a long, thin beam.

3-2 Probability Distributions and Probability Mass Functions Definition

Example 3-5 Example 3-5 (continued)

3-3 Cumulative Distribution Functions Definition Example 3-8

Example 3-8 Figure 3-4 Cumulative distribution function for

Example 3-8. 3-4 Mean and Variance of a Discrete Random Variable

Definition 3-4 Mean and Variance of a Discrete Random Variable

Figure 3-5 A probability distribution can be viewed as a loading with the mean equal to the balance point. Parts (a) and (b) illustrate equal means, but Part (a) illustrates a larger variance.

3-4 Mean and Variance of a Discrete Random Variable

Figure 3-6 The probability distribution illustrated in Parts (a) and (b) differ even though they have equal means and equal variances.

Example 3-11 3-4 Mean and Variance of a Discrete Random Variable

Expected Value of a Function of a Discrete Random Variable 3-5 Discrete Uniform Distribution

Definition 3-5 Discrete Uniform Distribution Example 3-13

3-5 Discrete Uniform Distribution Figure 3-7 Probability mass function for a discrete uniform

random variable. 3-5 Discrete Uniform Distribution Mean and Variance

3-6 Binomial Distribution Random experiments and random variables

3-6 Binomial Distribution Random experiments and random variables 3-6 Binomial Distribution

Definition 3-6 Binomial Distribution

Figure 3-8 Binomial distributions for selected values of n and p. 3-6 Binomial Distribution

Example 3-18 3-6 Binomial Distribution Example 3-18

3-6 Binomial Distribution Mean and Variance

3-6 Binomial Distribution Example 3-19 3-7 Geometric and Negative Binomial

Distributions Example 3-20 3-7 Geometric and Negative Binomial

Distributions Definition 3-7 Geometric and Negative Binomial

Distributions Figure 3-9. Geometric distributions for selected values of the parameter p.

3-7 Geometric and Negative Binomial Distributions 3-7.1 Geometric Distribution

Example 3-21 3-7 Geometric and Negative Binomial Distributions

Definition 3-7 Geometric and Negative Binomial Distributions

Lack of Memory Property 3-7 Geometric and Negative Binomial Distributions

3-7.2 Negative Binomial Distribution 3-7 Geometric and Negative Binomial Distributions

Figure 3-10. Negative binomial distributions for selected values of

the parameters r and p. 3-7 Geometric and Negative Binomial

Distributions Figure 3-11. Negative binomial random variable represented as a sum of geometric random variables.

3-7 Geometric and Negative Binomial Distributions 3-7.2 Negative Binomial Distribution

3-7 Geometric and Negative Binomial Distributions Example 3-25

3-7 Geometric and Negative Binomial Distributions Example 3-25

3-8 Hypergeometric Distribution Definition

3-8 Hypergeometric Distribution Figure 3-12. Hypergeometric distributions for

selected values of parameters N, K, and n. 3-8 Hypergeometric Distribution

Example 3-27 3-8 Hypergeometric Distribution Example 3-27

3-8 Hypergeometric Distribution Mean and Variance

3-8 Hypergeometric Distribution Finite Population Correction Factor 3-8 Hypergeometric Distribution

Figure 3-13. Comparison of hypergeometric and binomial distributions.

3-9 Poisson Distribution Example 3-30 3-9 Poisson Distribution

Definition 3-9 Poisson Distribution Consistent Units

3-9 Poisson Distribution Example 3-33

3-9 Poisson Distribution Example 3-33 3-9 Poisson Distribution

Mean and Variance

Recently Viewed Presentations

  • The Compelling Display of Data to Achieve Desired

    The Compelling Display of Data to Achieve Desired

    DRILL BIT STUCK IN PAN DECK-TWISTED R-SHOULDER. breaking a plug loose on heavy equipment, smashed Right hand. CO-WORKER SLAMMED R HAND IN TRUCK DOOR. JUMPED FROM LADDER-TWISTED R NECK/SHOULDER. slipped/fell on stairs entering water lab, inj. LT shoulder
  • News in ConfigMgr EWUG 1610 Per Larsen Microsoft

    News in ConfigMgr EWUG 1610 Per Larsen Microsoft

    Windows 10 defense stack. PRE-BREACH. POST-BREACH. Windows Defender ATP. Breach detection investigation & response. Breach detection investigation and response. Windows Defender Advanced Threat Protection (ATP) Device protection.
  • Terminate Flight SAFE Contingency Software in Autonomous Systems

    Terminate Flight SAFE Contingency Software in Autonomous Systems

    Topics Contingency Software in Autonomous Systems Video from Camcorder Video from Color Camera Video from tracking camera on trailer Virtual rotorcraft following APEX plan (green bar) Apex plan DART DEMO Adding intelligent diagnostic capabilities by supporting incremental autonomy Responding to...
  • 1. Pension: 2. Pension Plan Sponsor/Policy New Pension

    1. Pension: 2. Pension Plan Sponsor/Policy New Pension

    (Please use the updated form from our CISVA Benefits website) Total employer and employee contributions to an RPP (including Voluntary RPP contributions) are limited to the lesser of the current year's contribution limit (as set by CRA) and 18% of...
  • Web Application Design Chapter 14 Randy Connolly and

    Web Application Design Chapter 14 Randy Connolly and

    In UML. Domain Model Pattern. In the Domain Model pattern , the developer implements an object model: A variety of related classes that represent objects in the problem domain of the application. The classes within a domain model will have...
  • Process Modelling with BPMN - Fundamentals of BPM

    Process Modelling with BPMN - Fundamentals of BPM

    Process models must be included in body of report, NOT in appendices: appendices only used to provide additional (i.e. non-core) information Appendices need to be referenced in body of report Concepts, benefits and challenges need explanation - do not assume...
  • Scratch an overview for teachers by W Hamilton

    Scratch an overview for teachers by W Hamilton

    Software designed to inspire children to learn how to program Multimedia focus It is free to download Simple to use, lots of examples included and in online (You Tube style) galleries Good fun! When do I use scratch? KS3 -...
  • On the Efficacy of GPU-Integrated MPI for Scientific Applications

    On the Efficacy of GPU-Integrated MPI for Scientific Applications

    Ashwin M. Aji ([email protected]) Accelerator-Based System Share (out of 500) With Accelerators Jun 2009 Nov 2009 Jun 2010 Nov 2010 Jun 2011 Nov 2011 Jun 2012 Nov 2012 5 7 9 17 19 39 58 62. It is important to...