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