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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Choose the letter of the best answer. 1. Which of the following data show most likely the largest possible variance or variability? A. number of pieces of frebch fries in a regular pack from different orders of customers at McDonalds B. number of boys in families of three-children C. number of customers per hour who went shopoing at SM Super Malls D. number of heads that will appear if two coins are tossed together repeatedly 2. Which of the following data show most likely the smallest possible variance or variability? A. the number of passengers in a tricycle per destinations B. the number of applicants in the different job opening C. the number of families who own a privare vehicle in different cities in NCR D. the number of adults who use public restrooms in Metro Manila 3. Which of the following is NOT a property of the variance? A. a small variance means that the distribution of the random variable is narrowly concentrated around the mean B. a large variance means that the distribution is soread out, with some chance of observing values at some distance from the mean C. the variance is a value that is always positive D. the variance us a value that is always negative

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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