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Compute the Variance and Standard Deviation of a Discrete Random xx

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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 xx , which represents the number of bicycles per household in a town of 1000 households.
xP(x)00.12510.42820.25630.10840.083\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}

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Definitions:

T Test

A statistical test used to compare the means of two groups or samples to assess if they are statistically different from each other.

Cohen's D

A measure of effect size that indicates the standardized difference between two means.

Type I Error

Occurs when a true null hypothesis is incorrectly rejected, signifying a false positive in hypothesis testing.

Correlation Coefficients

Numerical measures that describe the strength and direction of a relationship between two variables.

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