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In an athletic competition, athletes must participate in an introductory event and those who do well...

In an athletic competition, athletes must participate in an introductory event and those who do well enough will advance to the nest stage of the competition. Assume that 0.53%of athletes take steroids. 0.81% of athletes who take steroids advance. 40 % of athletes who do not take steroids advance. What is the probability that randomly selected athlete does not take steroids and does advance?

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Answer #1

probability that randomly selected athlete does not take steroids and does advance = P(does not take steroids)*P(advance|does not take steroids) = (1-0.0053)*0.40 = 0.3979

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