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The Following Table Shows Part of the Probability Distribution for a Random

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The following table shows part of the probability distribution for a random variable x.

xfx)00.21?20.153?40.15\begin{array} { r r } \mathbf { x } & \mathbf { f x } ) \\0 & 0.2 \\1 & ? \\2 & 0.15 \\3 & ? \\4 & 0.15\end{array}
a. The mean of the above distribution is known to be 1.8 i.e., Ex) = 1.8). Determine f1) and f3).
b. Compute the variance and the standard deviation for the above probability distribution.

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Definitions:

Standard Of Living

The level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class or a certain geographic area.

Loanable Funds

The money available for borrowing in the financial markets, determined by savings and demands for investment.

Public Saving

The tax revenue that the government has left after paying for its spending.

Personal Saving

The portion of an individual's income that is not spent on consumption or taxes and is set aside for future use or investment.

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