Compute the Variance and Standard Deviation of a Discrete Random $x$

question 97

Short Answer

Compute the Variance and Standard Deviation of a Discrete Random Variable
-From the probability distribution, find the mean and standard deviation for the random variable $x$ , which represents the number of bicycles per household in a town of 1000 households.
$\begin{array}{c|c}\mathrm{x} & \mathrm{P}(\mathrm{x}) \\\hline 0 & 0.125 \\1 & 0.428 \\2 & 0.256 \\3 & 0.108 \\4 & 0.083\end{array}$

Identify and explain the various forms of leisure in modern cities and their significance to different ethnic groups, classes, and sexes.

Understand the geographic distribution and key characteristics of the iron and steel industry in the United States at the turn of the 20th century.

Recognize the transformation in the scale and dynamics of industrial development in the United States by the end of the 19th century.

Identify common characteristics between American and Northern European manufacturing regions.

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Definitions:

Validity of Measure

Refers to the degree to which a test or instrument accurately measures what it intends to measure.

Variability

The extent to which data points in a set differ from each other and from the mean, indicating the spread or dispersion of the dataset.

Double-blind Design

An experimental design in which neither the participants nor the experimenters know who is receiving a particular treatment, used to eliminate bias in research findings.

Confounds Increased

The introduction of variables or factors that obscure or confuse the relationship between the variables being studied, complicating the interpretation of results.