A survey of 200 patients in a local community revealed that 90 have hypertension (high blood pressure problem), 70 have hyperglycemia (high blood sugar problem), and 55 have hyperlipidemia (high blood lipid problem). Of these patients, 35 have both hypertension and hyperglycemia; 30 have both hypertension and hyperlipidemia, 25 have both hyperglycemia and hyperlipidemia, and 15 patients have all 3 problems. After creating a Venn diagram representing this situation, answer the following:

a.How many patients have only hypertension?

b.How many patients have only hyperlipidemia?

c.How many patients have both hypertension and hyperglycemia only?

d.What is the probability that a randomly selected patient does not have any of these problems?

Round to three decimal places if necessary

e.What is the probability that a randomly selected patient has only one problem?

Round to three decimal places if necessary

f.What is the probability that a randomly selected patient has only two problems?

Round to three decimal places if necessary