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The Probability Distribution Shown Below Describes a Population of Measurements x024p(x)1/31/31/3\begin{array} { c | c c c } x & 0 & 2 & 4 \\\hline p ( x ) & 1 / 3 & 1 / 3 & 1 / 3\end{array}

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The probability distribution shown below describes a population of measurements. x024p(x) 1/31/31/3\begin{array} { c | c c c } x & 0 & 2 & 4 \\\hline p ( x ) & 1 / 3 & 1 / 3 & 1 / 3\end{array} Suppose that we took repeated random samples of n = 2 observations from the population described above. Find the expected value of the sampling distribution of the sample mean.

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Definitions:

Mitosis

A cell division process in which a single cell divides to produce two genetically identical daughter cells, crucial for growth, repair, and asexual reproduction.

DNA Replicates

the process by which a DNA molecule creates an exact copy of itself, crucial for cell division and the transmission of genetic information.

Chromosome Pairs

Sets of two homologous chromosomes, one inherited from each parent, found in the nucleus of cells, carrying genetic information.

Meiosis

A type of cell division that reduces the chromosome number by half, resulting in the production of four genetically distinct gametes.

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