# Question

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.

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.

## Answer to relevant Questions

Let P (A) = 0.65, P(B) = 0.30, and P(A | B) = 0.45.a. Calculate P (A ∩ B).b. Calculate P (A ∪ B).c. Calculate P (B | A).Let P (A) = 0.15, P (B) = 0.10, and P (A ∩ B) = 0.05.a. Are A and B independent events? Explain.b. Are A and B mutually exclusive events? Explain.c. What is the probability that neither A nor B takes place?Despite government bailouts and stimulus money, unemployment in the United States had not decreased significantly as economists had expected (US News and World Report, July 2, 2010). Many analysts predicted only an 18% ...Apple products have become a household name in America with 51 percent of all households owning at least one Apple product (CNN, March 19, 2012). The likelihood of owning an Apple product is 61 percent for households with ...A recent poll asked 16- to 21-year-olds whether or not they are likely to serve in the U.S. military. The following table, cross-classified by gender and race, reports the percentage of those polled who responded that they ...Post your question

0