Chapter 6 Some Continuous Probability Distributions.

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Presentation transcript:

Chapter 6 Some Continuous Probability Distributions

Section 6.1 Continuous Uniform Distribution

Figure 6.1 The density function for a random variable on the interval Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 6.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.2 Normal Distribution

Figure 6.2 The normal curve Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.3 Normal curves with m1 < m2 and s1 = m2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.4 Normal curves with m1 = m2 and s1 < s2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.5 Normal curves with m1 < m2 and s1 < s2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 6.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.3 Areas under the Normal Curve

Figure 6.6 P(x1 < X < x2) = area of the shaded region Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.7 P(x1 < X < x2) for different normal curves Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 6.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.8 The original and transformed normal distributions Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.9 Areas for Example 6.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.10 Areas for Example 6.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.11 Area for Example 6.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.12 Area for Example 6.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.13 Areas for Example 6.6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.4 Applications of the Normal Distribution

Figure 6.14 Area for Example 6.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.15 Area for Example 6.8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.16 Area for Example 6.9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.17 Specifications for Example 6.10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.18 Area for Example 6.11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.19 Area for Example 6.12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.20 Area for Example 6.13 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.21 Area for Example 6.14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.5 Normal Approximation to the Binomial

Theorem 6.3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.22 Normal approximation of b(x; 15,0.4) Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.23 Normal approximation of b(x; 15, 0.4) and b(x; 15, 0.4) Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.24 Histogram for b(x; 6, 0.2) Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.25 Histogram for b(x; 15, 0.2) Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Table 6.1 Normal Approximation and True Cumulative Binomial Probabilities Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.26 Area for Example 6.15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.27 Area for Example 6.15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.6 Gamma and Exponential Distributions

Definition 6.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Figure 6.28 Gamma distributions Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 6.4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Corollary 6.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.7 Chi-Squared Distributions

Theorem 6.5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 6.9 Lognormal Distribution

Figure 6.29 Lognormal distributions Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 6.7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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