3. To study the telecommunication in households in Flandres, for each household the following two variables were measured • the numbers of cell phones in the household the monthly household expenditure on telecommunication in euro expenditure relative frequency [0,5[ [5, 15[ [15, 30[ [30, 50[ [50, 100[ 0.08 0.24 0.30 0.33 0.05 3 15% 2 23% 4 5% 0 22% 35% a. Draw a suitable histogram for the monthly expenditure. Determine the modal value. b. Determine the average number of cell phones per household, together with the standard deviation (you may assume that the sample size is large). c. Which variable has relatively the heighest spread: the number of cell phones of the monthly expenditure (you may assume that the sample size is large) ? d. Family Peters owns 2 cell phone and has a monthly expenditure of 43 euro. Compared to the other households in the sample, which value is relatively the highest, the number of cell phones or the monthly expenditure? e. Determine the cumulative distribution function for the number of cell phones. Use the graph to determine the cumulative frequency for 3 cell phones in a household. f. The total telecommunication expenses for a household, given by the expenditures in the table above, are increased by 21% taxes and a fixed subscription cost of 5 euro per month. Determine the average and the standard deviation of the total household telecommunication expenses.

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A: Mean()=12Standard deviation()=4

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A:

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A: It is given that sample mean is 22.1 and the standard deviation is 4.7.

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