'Independent normal random variables' presentation slideshows

Addition of Independent Normal Random Variables

Addition of Independent Normal Random Variables . Theorem 1 : Let X and Y be two independent random variables with the N ( ? , ? 2 ) distribution. Then, is N (2 ? , 2 ? 2 ) . Proof : . Subtraction of Independent Normal Random Variables. Theorem 2 :

1.2k views • 54 slides

Probability and Statistical Inference (9th Edition) Chapter 5 (Part 2/2)

Probability and Statistical Inference (9th Edition) Chapter 5 (Part 2/2). Distributions of Functions of Random Variables November 25, 2015. Outline. 5.5 Random Functions Associated with Normal Distributions 5.6 The Central Limit Theorem 5.7 Approximations for Discrete Distributions

436 views • 43 slides

Chapter 11 Analysis of Variance

Chapter 11 Analysis of Variance. 1. Chapter 11 Analysis of Variance. 11.1 Introduction 11.2 One-Factor Analysis of Variance 11.3 Two-Factor Analysis of Variance: Introduction and Parameter Estimation 11.4 Two-Factor Analysis of Variance: Testing Hypotheses 11.5 Final Comments. 2.

644 views • 41 slides

STAT 111 Introductory Statistics

566 views • 35 slides

Chapter 7

Chapter 7. Random Variables. Random Variables. Sample spaces are not always numeric (example tossing 4 coins: HTTH, TTTH, etc.) If we let X = the number of heads, then in those 2 outcomes X = 2, X = 1.

369 views • 30 slides

Functions of Random Variables

PROBABILITY AND STATISTICS FOR SCIENTISTS AND ENGINEERS. Functions of Random Variables. Functions of Random Variables - Theorem. X is a continuous random variable with probability distribution f(x). Let Y = u(X) define a one-to-one transformation between

860 views • 29 slides

The multivariate normal distribution

373 views • 27 slides

Lesson 7 - 2

Lesson 7 - 2. Means and Variances of Random Variables. Knowledge Objectives. Define what is meant by the mean of a random variable Explain what is meant by a probability distribution Explain what is meant by a uniform distribution

204 views • 20 slides

5-Minute Check on section 7-2a

5-Minute Check on section 7-2a. You have a fair 8-sided die with the number 1 to 8 on each of the faces; find the mean and standard deviation. Given the following find the expected value and variance. x 0 1 2 3 4 P(x) .2 .25 .35 .15 .05

208 views • 20 slides

Lesson 7 - 2

Lesson 7 - 2. Means and Variances of Random Variables. Knowledge Objectives. Define what is meant by the mean of a random variable Explain what is meant by a probability distribution Explain what is meant by a uniform distribution

277 views • 19 slides

Chapter 5

Chapter 5. Sampling Distributions. Introduction. Distribution of a Sample Statistic: The probability distribution of a sample statistic obtained from a random sample or a randomized experiment What values can a sample mean (or proportion) take on and how likely are ranges of values?

339 views • 15 slides

342 views • 12 slides

Regression Analysis Week 8

224 views • 10 slides