In the August 2005 issue of Consumer Reports, readers suffering from depression reported that alternative treatments were less effective than prescription drugs. Suppose that 550 readers felt better taking prescription drugs, 220 felt better through meditation, and 45 felt better taking St. John's wort. Furthermore, 95 felt better using prescription drugs and meditation, 17 felt better using prescription drugs and St. John's wort, 35 felt better using meditation and St. John's wort, 15 improved using all three treatments, and 150 improved using none of these treatments. (Hypothetical results are partly based on percentages given in Consumer Reports.)
a. How many readers suffering from depression were included in the report? Of those included in the report.
b.How many felt better using prescription drugs or mediation?
c. How many felt better using St. John's wort only?
d. How many improved using prescription drugs and meditation, but not St. John's wort?
e. How many improved using prescription drugs or St. John's wort, but not meditation?
f. How many improved using exactly two of these treatments?
g.How many improved using at least one of these treatments?