Math  /  Data & Statistics

QuestionA special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun. The survey yielded the following results for the 1000 households that responded. 271 own a hand gun. 443 own a rifle. 493 supported the ban on hand guns. 140 own both a hand gun and a rifle. 204 own a rifle but no hand gun and do not support the ban on hand guns. 70 own a hand gun and support the ban on hand guns. 52 own both a hand gun and a rifle and also support the ban on hand guns. How many of the surveyed households: (a) only own a hand gun and do not support the ban on hand guns? \qquad (b) do not own a gun and support the ban on hand guns? \square (c) do not own a gun and do not support the ban on hand guns? \square

Studdy Solution
Simplify the expression:
n(HRB)=1000271443+140=426 n(\overline{H \cup R} \cap \overline{B}) = 1000 - 271 - 443 + 140 = 426
Final Solutions: (a) Number of households that only own a hand gun and do not support the ban on hand guns: 113. (b) Number of households that do not own a gun and support the ban on hand guns: 0. (c) Number of households that do not own a gun and do not support the ban on hand guns: 426.

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