文档介绍：CHAPTER 7 Continuous Probability Distributions
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Introduction to Business Statistics
fourth edition, by Ronald M. Weiers
Presentation by Priscilla Chaffe-Stengel
Donald N. Stengel
© 2002 The Wadsworth Group
Chapter 7 - Learning Objectives
Differentiate between the normal and the exponential distributions.
Use the standard normal distribution and z-scores to determine probabilities associated with the normal distribution.
Use the normal distribution to approximate the binomial distribution.
Use the exponential distribution to determine related probabilities.
© 2002 The Wadsworth Group
Chapter 7 - Key Terms
Probability density function
Probability distributions
Standard normal distribution
Mean, variance, applications
Exponential distribution
Mean, variance, applications
Normal approximation to the binomial distribution
© 2002 The Wadsworth Group
Chapter 7 - Key Concept
The area under a probability density function between two bounds, a and b, is the probability that a value will occur within the bounded interval between a and b.
© 2002 The Wadsworth Group
The Normal Distribution
An important family of continuous distributions
Bell-shaped, symmetric, and asymptotic
To specify a particular distribution in this family, two parameters must be given:
Mean
Standard deviation
© 2002 The Wadsworth Group
Areas under the Normal Curve
Use the standard normal table to find:
The z-score such that the area from the midpoint to z is .
In the interior of the standard normal
table, look up a value close to .
The closest value is , which
occurs at
z = .
© 2002 The Wadsworth Group
Areas under the Normal Curve
Use the standard normal table to find:
The probability associated with z: P(0 £ z £ ).
Locate the row whose header is . Proceed
along that row to the column whose
header is .02. There you find the
value .4066, which is the amount of
area capture between the mean
and a z of .
Answer:
© 2002 The Wadswort