TAILIEUCHUNG - Lecture Basic statistics for business and economics - Chapter 6: Discrete probability distributions

When you have completed this chapter, you will be able to: Identify the characteristics of a probability distribution, distinguish between a discrete and a continuous random variable, compute the mean of a probability distribution, compute the variance and standard deviation of a probability distribution,. | Discrete Probability Distributions Chapter 06 McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. LEARNING OBJECTIVES LO 6-1 Identify the characteristics of a probability distribution. LO 6-2 Distinguish between a discrete and a continuous random variable. LO 6-3 Compute the mean of a probability distribution. LO 6-4 Compute the variance and standard deviation of a probability distribution. LO 6-5 Describe and compute probabilities for a binomial distribution. LO 6-6 Describe and compute probabilities for a Poisson distribution. 6- What is a Probability Distribution? PROBABILITY DISTRIBUTION A listing of all the outcomes of an experiment and the probability associated with each outcome. CHARACTERISTICS OF A PROBABILITY DISTRIBUTION The probability of a particular outcome is between 0 and 1 inclusive. The outcomes are mutually exclusive events. The list is exhaustive. So the sum of the probabilities of the various events is equal to 1. LO 6-1 Identify the characteristics of a probability distribution. 6- What is a Probability Distribution? Experiment: Toss a coin three times. Observe the number of heads. The possible results are: Zero heads, One head, Two heads, and Three heads. What is the probability distribution for the number of heads? LO 6-1 6- Random Variables EXAMPLES The number of students in a class. The number of children in a family. The number of cars entering a carwash in a hour. Number of home mortgages approved by Coastal Federal Bank last week. RANDOM VARIABLE A quantity resulting from an experiment that, by chance, can assume different values. DISCRETE RANDOM VARIABLE A random variable that can assume only certain clearly separated values. It is usually the result of counting something. EXAMPLES The length of each song on the latest Tim McGraw album. The weight of each student in this class. The temperature outside as you are reading this book. The amount of money earned by each

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