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The following frequency table shows the classification of 58 landfills in a state according to their concentration of the three hazardous chemicals arsenic, barium, and mercury.
Barium
high low
mercury mercury
Arsenic high low high low
high 1 3 5 9
low 4 8 10 18
If a landfill is selected at random, find the probability that it has:
(a) A high concentration of barium.
(b) A high concentration of mercury and low concentrations of both arsenic and barium.
(c) A high concentration of any one of the chemicals and low concentrations of the other two.
(d) A high concentration of Mercury given it has a high concentration of Arsenic. Is having high concen- trations of Mercury and high concentrations of Arsenic independent in this set of landfills?
(e) A high concentration of Barium given it has a low concentration of Mercury. Is having high concentra- tions of Barium and low concentrations of Mercury independent in this set of landfills?
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