Use the graph of the given normal distribution to identify μ and σ.

Slides:



Advertisements
Similar presentations
The Normal Distribution
Advertisements

How do I use normal distributions in finding probabilities?
NORMAL CURVE Needed for inferential statistics. Find percentile ranks without knowing all the scores in the distribution. Determine probabilities.
Continuous Probability Distributions In this chapter, we’ll be looking at continuous probability distributions. A density curve (or probability distribution.
Slide 4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response.
1. Normal Curve 2. Normally Distributed Outcomes 3. Properties of Normal Curve 4. Standard Normal Curve 5. The Normal Distribution 6. Percentile 7. Probability.
Chapter 11: Random Sampling and Sampling Distributions
Normal Approximation Of The Binomial Distribution:
Chapter Six Normal Curves and Sampling Probability Distributions.
Section 6.3 Finding Probability Using the Normal Curve HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant.
Math 10 Chapter 6 Notes: The Normal Distribution Notation: X is a continuous random variable X ~ N( ,  ) Parameters:  is the mean and  is the standard.
Chapter 6.1 Normal Distributions. Distributions Normal Distribution A normal distribution is a continuous, bell-shaped distribution of a variable. Normal.
Section 6.3 Finding Probability Using the Normal Curve HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant.
The Standard Normal Distribution Section 5.2. The Standard Score The standard score, or z-score, represents the number of standard deviations a random.
§ 5.3 Normal Distributions: Finding Values. Probability and Normal Distributions If a random variable, x, is normally distributed, you can find the probability.
+ Chapter 2: Modeling Distributions of Data Section 2.2 Normal Distributions The Practice of Statistics, 4 th edition - For AP* STARNES, YATES, MOORE.
© 2010 Pearson Prentice Hall. All rights reserved Chapter The Normal Probability Distribution © 2010 Pearson Prentice Hall. All rights reserved 3 7.
Chapter 7: The Distribution of Sample Means. Frequency of Scores Scores Frequency.
Chapter 9 – The Normal Distribution Math 22 Introductory Statistics.
Section 6-1 Overview. Chapter focus is on: Continuous random variables Normal distributions Overview Figure 6-1 Formula 6-1 f(x) =  2  x-x-  )2)2.
Normal Probability Distributions Chapter 5. § 5.2 Normal Distributions: Finding Probabilities.
Copyright © Cengage Learning. All rights reserved. 6 Normal Probability Distributions.
Discrete Math Section 17.4 Recognize various types of distributions. Apply normal distribution properties. A normal distribution is a bell shaped curve.
Section 5.2 Normal Distributions: Finding Probabilities © 2012 Pearson Education, Inc. All rights reserved. 1 of 104.
7.3 Areas Under Any Normal Curve Example1: Let x have a normal probability distribution with μ = 4 and σ = 2. Find the probability that x value selected.
Section 5.3 Normal Distributions: Finding Values © 2012 Pearson Education, Inc. All rights reserved. 1 of 104.
Chapter Normal Probability Distributions 1 of 25 5  2012 Pearson Education, Inc. All rights reserved.
Introduction to Normal Distributions
Chapter 5 Normal Probability Distributions.
Chapter 7 The Normal Probability Distribution
STA 291 Spring 2010 Lecture 8 Dustin Lueker.
Chapter 5 Normal Probability Distributions.
Objectives Find probabilities for normally distributed variables
Finding Probability Using the Normal Curve
Fitting to a Normal Distribution
Chapter 5 Normal Probability Distributions.
Describing Location in a Distribution
5.2 Normal Distributions: Finding Probabilities
Chapter 6 Confidence Intervals.
Finding Probabilities
Using the Empirical Rule
THE STANDARD NORMAL DISTRIBUTION
Lesson 11.1 Normal Distributions (Day 2)
Chapter Six Normal Curves and Sampling Probability Distributions
4.1B – Probability Distribution
Chapter 5 Normal Probability Distributions.
NORMAL PROBABILITY DISTRIBUTIONS
The Normal Probability Distribution Summary
Sections 5-1 and 5-2 Quiz Review Warm-Up
Aim: what is the normal distribution?
Chapter 5 Normal Probability Distributions.
Using the Normal Distribution
Normal Probability Distributions
How do I use normal distributions in finding probabilities?
Applications of the Normal Distribution
LESSON 10: NORMAL DISTRIBUTION
STA 291 Summer 2008 Lecture 9 Dustin Lueker.
Chapter 7: The Distribution of Sample Means
Section 7.6: Normal Distributions
Fitting to a Normal Distribution
Chapter 5 Normal Probability Distributions.
Normal Probability Distributions
Chapter 5 Normal Probability Distributions.
Chapter 7 The Normal Distribution and Its Applications
Chapter 5 Normal Probability Distributions.
Chapter 5 Normal Probability Distributions.
Chapter 5 Normal Probability Distributions.
STA 291 Spring 2008 Lecture 8 Dustin Lueker.
Chapter 5 Normal Probability Distributions.
Chapter 5 Normal Probability Distributions.
Presentation transcript:

Use the graph of the given normal distribution to identify μ and σ. 62 86 68 74 80 92 98 X Section 7.1

Find the probability of the standard normal random variable Z. P(Z < 1.49) 0.9319 0.0681 0.6879 0.3121 Section 7.2

Find the probability of the standard normal random variable Z. P(Z ≥ –2.31) 0.0104 0.0087 0.9896 0.9913 Section 7.2

Find the probability of the standard normal random variable Z. P(–2.14 < Z < 0.95) 0.1170 0.0681 0.1873 0.8127 Section 7.2

Find the Z-score such that the area under the standard normal curve to the right is 0.10. 1.28 -1.28 0.5398 0.8159 Section 7.2

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score greater than 120. 0.9082 0.6293 0.0918 0.3707 Section 7.2

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Determine the 90th percentile for IQ scores. 1.28 81 119 114 Section 7.2