1313_section8o5_8o6

# 1313_section8o5_8o6 - 1 Section 8.5 – The Normal...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Section 8.5 – The Normal Distribution A random variable that may take on infinitely many values is called a continuous random variable . A continuous probability distribution is defined by a function f called the probability density function . The probability that the random variable X associated with a given probability density function assumes a value in an interval a < x < b is given by the area of the region between the graph of f and the x-axis from x = a to x = b . The following graph is a picture of a normal curve and the shaded region is ) ( b X a P < < . Note: ) ( ) ( ) ( b X a P b X a P b X a P ≤ ≤ = < ≤ = < < , since the area under one point is 0. Normal distributions have the following characteristics: 1. The graph is a bell-shaped curve. The curve always lies above the x-axis but approaches the x-axis as x extends indefinitely in either direction. 2 2. The curve has peak at x = μ . The mean, μ , determines where the center of the curve is located....
View Full Document

## This note was uploaded on 02/21/2012 for the course MATH 1313 taught by Professor Constante during the Spring '08 term at University of Houston.

### Page1 / 8

1313_section8o5_8o6 - 1 Section 8.5 – The Normal...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online