Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 5 - Discrete Probability Distributions - Review - Cumulative Review Exercises - Page 233: 5

Answer

a) Frequency distribution b) Probability distribution c) 4.7; statistic d) 4.5; parameter e) The mean should be around 4.5

Work Step by Step

a) The table on the left is a frequency distribution. b) The table on the right is a probability distribution, for the right hand column shows the probability that the given event will occur. c) The mean is: $\frac{\Sigma x}{n}$ Where n is the number of values. Thus, we find: $\bar{x}=4.7$ This result is statistic d) The probabilities are all equal, so the mean will e the center of the data set, which is 4.5. (The result is a parameter.) e) We would expect the mean to be the mean of the probability distribution, which is 4.5.
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