In a survey to determine the opinions of Americans on health insurers, 400 baby

Question

In a survey to determine the opinions of Americans on health insurers, 400 baby boomers and 600 pre-boomers were asked this question: Do you believe that insurers are very responsible for high health costs? Of the baby boomers, 232 answered in the affirmative, whereas 222 of the pre-boomers answered in the affirmative. If a respondent chosen at random from those surveyed answered the question in the affirmative, what is the probability that he or she is a baby boomer? A pre-boomer? (Round your answers to two decimal places.) baby boomer pre boomer

Explanation / Answer

Since the question has been answered in the affirmative,
the sample space is only (232+222) = 454

(a)baby boomer : 232/454 = 0.511

(b)pre-boomer : 222/454 = 0.4889

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