At four community health centers on Cape Cod, Massachusetts, 15,164 patients were asked to respond to questions designed to detect depression (The Boston Globe, June 11, 2008). The survey produced the following results..

a. What is the probability that a randomly selected patient suffered from mild depression?
b. What is the probability that a randomly selected patient did not suffer from depression?
c. What is the probability that a randomly selected patient suffered from moderately severe to severe depression?
d. Given that the national figure for moderately severe to severe depression is approximately 6.7%, does it appear that there is a higher rate of depression in this summer resort community?Explain.

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Diagnosis Mild Moderate Moderately Severe Severe No Depression Number 3,257 1,546 975 773 8,613