Continuous Random Variables

Continuous Random Variables
Chapter 5 Continuous Random Variables

Figure SIA5.1 Target placement on gun range
Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Continuous Probability Distributions
5.1 Continuous Probability Distributions

Figure 5.1 A probability f(x) for a continuous random variable x

Figure 5.2 Density Function for Friction Coefficient, Example 5.1

The Uniform Distribution
5.2 The Uniform Distribution

Figure 5.3 The uniform probability distribution

Figure 5.4 Distribution for x in Example 5.2

Figure 5. 5 Probability that car breaks down within 1
Figure 5.5 Probability that car breaks down within 1.5 months of purchase Copyright © 2013 Pearson Education, Inc.. All rights reserved.

The Normal Distribution
5.3 The Normal Distribution

Figure 5.6 A normal probability distribution

Figure 5.7 Several normal distributions with different means and Standard deviations

Figure 5.8 Several normal distributions: m = 0, s = 1

Figure 5.9 Areas under the standard normal curve for Example 5.3

Figure 5.10 Finding z =1.33 in the standard normal table, Example 5.3

Figure 5.14 Areas under the normal curve for Example 5.7

Figure 5.15 Area under the normal curve for Example 5.8

Figure 5.16 Area under the standard normal curve for Example 5.9

Figure 5.18 Area under the normal curve for Example 5.11

Figure SIA5.2 MINITAB worksheet with cumulative normal probabilities

Descriptive Methods for Assessing Normality
5.4 Descriptive Methods for Assessing Normality

Figure 5.19a MINITAB histogram for gas mileage data

Figure 5.19b MINITAB Descriptive statistics for gas mileage data

Figure 5.19c SPSS normal probability plot for gas mileage data

Figure SIA5.3a MINITAB histogram for the horizontal hit measurements when s = 1

Figure SIA5.3b MINITAB histogram for the horizontal hit measurements when s = 2

Figure SIA5.3c MINITAB histogram for the horizontal hit measurements when s = 4

5.5 Approximating a Binomial Distribution with a Normal Distribution (Optional)

Figure 5. 20 Binomial distribution for n = 20, p =
Figure Binomial distribution for n = 20, p = .6 and normal distribution with m = 12, s = 2.2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

Figure 5.21 Rule of thumb for normal approximation to binomial probabilities

Figure 5.22 Normal approximation to the binomial distribution with n = 200, p = .06

Figure 5.23 Standard normal distribution

The Exponential Distribution (Optional)
5.6 The Exponential Distribution (Optional)

Figure 5.25 Exponential distributions

Figure 5.27 Area to the right of a = 5 for Example 5.14

Figure 5.28 Area to the left of a = 5 for Example 5.15

Figure 5.29 Area in the interval for Example 5.15

Continuous Random Variables

Similar presentations

Presentation on theme: "Continuous Random Variables"— Presentation transcript:

Similar presentations

About project

Feedback

Log in

Auth with social network:

Continuous Random Variables

Similar presentations

Presentation on theme: "Continuous Random Variables"— Presentation transcript:

Similar presentations

About project

Feedback