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
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 xaxis 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 bellshaped curve. The curve always lies above the xaxis but approaches the xaxis as x extends indefinitely in either direction. 2 2. The curve has peak at x = . The mean, , determines where the center of the curve is located....
View Full
Document
 Spring '08
 CONSTANTE
 Math, Normal Distribution, Probability

Click to edit the document details