Math Question

Q. The 2012 Restaurant Industry Forecast takes a closer look at today’s consumers. Based on a 2011 National Restaurant Association survey, consumers are divided into three segments (optimistic, cautious, and hunkered-down) based on their financial situation, cur- rent spending behavior, and economic outlook. Suppose the results, based on a sample of 100 males and 100 females, were as follows:

If a consumer is selected at random, what is the probability that he or she

a. is classified as cautious?

 b. is classified as optimistic or cautious?

c. is a male or is classified as hunkered-down?

d. is a male and is classified as hunkered-down?

e. Given that the consumer selected is a female, what is the probability that she is classified as optimistic?