Consider the Probability Distribution Shown Here $\begin{array}{l|lll}\hline x & 7 & 9 & 11 \\\hline p(x) & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \\\hline\end{array}$

question 45

Essay

Consider the probability distribution shown here. $\begin{array}{l|lll}\hline x & 7 & 9 & 11 \\\hline p(x) & \frac{1}{3} & \frac{1}{3} & \frac{1}{3} \\\hline\end{array}$

Let $\bar { x }$ be the sample mean for random samples of $n = 2$ measurements from this distribution. Find $E ( x )$ and $E ( \bar { x } )$ .

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Definitions:

Multiple Support Agreement

An agreement that allows multiple taxpayers who support a dependent together to decide who among them gets to claim the tax benefits for that dependent.

Dependent

An individual, usually a child or spouse, who relies on another, often the taxpayer, for financial support and for whom exemptions may be claimed.

Support

Financial assistance provided for maintenance, which can include food, housing, clothing, education, and healthcare.

Standard Deduction

A fixed dollar amount that reduces the income you're taxed on, varying by filing status and adjusted annually for inflation, available to all taxpayers who do not itemize their deductions.