Queen Mutuashi, a medical researcher at a famous hospital in Mombasa is interested in finding the causes of lung cancer in Kenya. In an attempt to achieve her objective, she surveyed 450 lung cancer patients in the hospital and found out that 140 were cigarette smokers, 164 lived in urban areas, and 200 had hazardous occupations. 80 of the smokers lived in urban areas, 56 had hazardous occupations, and 33 were in both categories. 60 of the patients with hazardous occupations neither lived in an urban area nor smoked. Required (i) Represent the information on a Venn diagram (ii) Determine the number of patients living in urban areas who had hazardous occupations.
Queen Mutuashi, a medical researcher at a famous hospital in Mombasa is interested in
finding the causes of lung cancer in Kenya. In an attempt to achieve her objective, she
surveyed 450 lung cancer patients in the hospital and found out that 140 were cigarette
smokers, 164 lived in urban areas, and 200 had hazardous occupations. 80 of the smokers
lived in urban areas, 56 had hazardous occupations, and 33 were in both categories. 60 of
the patients with hazardous occupations neither lived in an urban area nor smoked.
Required
(i) Represent the information on a Venn diagram
(ii) Determine the number of patients living in urban areas who had hazardous
occupations.
(iii) How many of the patients living in the urban areas neither smoked nor had hazardous
occupations?
(iv) Determine the number of patients who smoke if and only if they lived in urban areas.
(v) Queen Mutuashi would infer that these are the three common causes of lung cancer if
70% of the individuals suffering from the disease have at least one of these
characteristics. What would be her conclusion?
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