Let X Represent the Number of Computers in an Australian $$\begin{array} { c | c c c c c } x & 1 & 2 & 3 & 4 & 5 \\\hline p ( x ) & .25 & .33 & .17 & .15 & .10\end{array}$$

question 39

Essay

Let X represent the number of computers in an Australian household, for those that own a computer. $$\begin{array} { c | c c c c c } x & 1 & 2 & 3 & 4 & 5 \\\hline p ( x ) & .25 & .33 & .17 & .15 & .10\end{array}$$ a. Find and interpret the expected number of computers in a randomly selected Australian household.
b. Find the variance of the number of computers in a randomly selected Australian household.

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Definitions:

Lower Classes

Social groups characterized by lower socioeconomic status, often associated with limited access to resources and opportunities.

Meritocracy

A system of rewards based on personal attributes and demonstrated abilities.

Central Assumption

The fundamental belief or principle that serves as the foundation for a theory, model, or approach in various fields.

Davis-Moore Thesis

A sociological theorem that argues social stratification has beneficial consequences for the operation of society, positing that the most difficult jobs in any society are the most necessary and require the highest rewards and incentives to motivate individuals to complete them.