Final answer:
To construct the probability distribution for the number of computers per household, data on the number of households and corresponding number of computers is needed. Mean, variance, and standard deviation can be calculated from a constructed probability distribution.
Step-by-step explanation:
To construct the probability distribution for the number of computers per household in a small town, we would need data on the number of households and the corresponding number of computers in each household. Without this data, we cannot construct the probability distribution. However, if we had the data, we could calculate the probabilities of different outcomes (such as 0 computers, 1 computer, 2 computers, etc.) and create a table or graph to represent the probability distribution.
If we were able to construct the probability distribution, we could then calculate the mean by multiplying each outcome by its probability and summing the values. The variance could be found by summing the squared differences between each outcome and the mean, multiplied by their respective probabilities. The standard deviation would be the square root of the variance.