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Please show work. Suppose you are having a medical test done to check for a heart murmur. The test has 80% sensitivity Le. if you

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Suppose you are having a medical test done to check for a heart murmur. The test has 80% sensitivity Le. if you have a heart murmur, it will give a positive test result with 80% probability and 95% specicity i.e. if you don't have a heart murmur, it will get a negative test result 95% of the time. Suppose 10% of the general population has a heart murmur. a.) If a random person is sampled from the pOpulation, what is the probability that he or she will test negative? b.) If you test negative, what is the probability that you don't have a heart murmur

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