Q8: Let X represent the household size of Aboriginal and Torres Strait Islander households in Northern Territory (NT). The frequency distribution of X based on the 2016 census is given below: \begin{tabular}{|l|c|c|c|c|c|c|} \hline \( \boldsymbol{x} \) & 1 & 2 & 3 & 4 & 5 & 6 or more \\ \hline \begin{tabular}{l} No. of \\ families \end{tabular} & 1545 & 2506 & 1987 & 1913 & 1427 & 3371 \\ \hline \end{tabular} a) Construct the probability distribution of \( \mathrm{X} \) and present it in graphical form. b) Comment on the symmetry or skewness of the distribution. c) What is the most likely number of persons in an NT Aboriginal and Torres Strait Islander household? d) If an Aboriginal and Torres Strait Islander household in NT is selected at random, what is the probability that the household has more than three people? Provider ID PRV14280 | CRICOS Provider Code 03906M 16
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To find the total number of families, we add up the number of families for each household size. Total families = 1545 + 2506 + 1987 + 1913 + 1427 + 3371 = 12749 Show more…
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