Answered: . A population has a mean of 75 and a…

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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1. A population has a mean of 75 and a standard deviation of 17.4. A sample of 35

items is randomly selected from this population. What is the probability that the

mean of this samples lies between 72 and 79?

2. An electronic company in Laguna manufactures resistors that have a mean

resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability

that a random sample of 40 resistors will have an average resistance greater

than 114 ohms.

3. Suppose that the average outstanding credit card balance for young professionals

is Php11,200 with standard deviation of Php 2,600. In simple random sample of

150 young professionals, what is the probability that the mean outstanding credit

card balance does not exceeds Php12,300?

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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