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22 )Acompany has developed a drug test to detect sterold use by athletes .The test is...

22 )Acompany has developed a drug test to detect sterold use by athletes .The test is accurate 95% of the timewhen an athlete has taken steroids .It is 97% accurate when an athlete hasn't taken steroids .Suppose that the drug test will be used in a population of athletes in which 10% have actually taken steroids .Assume an athlete is chosen at random and the drug test is administered to this athlete

( a)Make a tree diagram showing the sample space of this chance process .

( b)What'sthe probability that the randomly selected athlete tests positive ?Show your work .

( c)Suppose that the chosen athlete tests positive .What's the probability that he or she actually used steroids ? Show your work .

Math   Statistics-And-Probability   
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