Using Excel To Generate Probability Distribution For A Binomial Random Variable And Analyzing Data On Household Size And Computer Usage In The US

Mean and median

Mean = sum of data points/ sample size (n) = 75/30 = 2.50

Median

Sort the data in ascending order

Sample size = 30 (even number)

The mean and median are representative of the central tendency of the given data and highlights the average number of people in a household. Considering that the data may contain outliers in the form of household with 6 and 8 members, it would be appropriate to use median instead of mean as the mean may be influenced by extreme values which is not the case for median.

Variance and standard deviation

Standard deviation

The above statistics reveal the dispersion in the data and the deviation of the data points from the average value.

Percentage of US households has fax machine = 10%

Percentage of US households has personal computer= 52%

Percentage of US households has fax machine and has personal computer P(PC| Fax) =91%

Joint probability table can be formed based on the above shown probabilities

US household has fax /PC	Fax yes	Fax no	Total
PC yes	0.091	0.429	0.52
PC no	0.009	0.471	0.48
Total	0.10	0.90	1.0

Probability that a randomly selected US household would has a fax machine and a personal computer

Probability that a randomly selected US household would has a fax machine or a personal computer

Probability that a randomly selected US household would has a fax machine and does not have a personal computer

Probability that a randomly selected US household would has neither a fax machine nor a personal computer.

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