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 33

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:

Legal Consent

An agreement made by someone with full understanding and willingness, often pertaining to legal contracts or medical procedures.

Mutual Mistake

A misunderstanding or error shared by all parties to a contract about a fundamental fact that is central to the contract, potentially voiding the agreement.

Basic Assumption

A fundamental belief or premise that is accepted as true without proof.

Genuine Assent

An agreement to enter into a contract that is not clouded by factors such as fraud, duress, undue influence, or mistake.