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Let X Represent the Number of Computers in an Australian x12345p(x)0.250.330.170.150.10\begin{array} { | l | r | r | r | r | r | } \hline x & 1 & 2 & 3 & 4 & 5 \\\hline p ( x ) & 0.25 & 0.33 & 0.17 & 0.15 & 0.10 \\\hline\end{array}

question 19

Essay

Let X represent the number of computers in an Australian household, for those that own a computer. x12345p(x)0.250.330.170.150.10\begin{array} { | l | r | r | r | r | r | } \hline x & 1 & 2 & 3 & 4 & 5 \\\hline p ( x ) & 0.25 & 0.33 & 0.17 & 0.15 & 0.10 \\\hline\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.


Definitions:

Population Means

The mean values calculated from the entirety of specified populations.

Independent Random Samples

Independent random samples are samples selected from a population in such a way that each member of the population has an equal and independent chance of being included.

Population Means

The average value of all the data points in a population, representing a central tendency of the population data.

Confidence Interval

A variety of values coming from collected sample information, presumed to hold the value of an unknown parameter within the population.

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