statistics/ probability

Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test ( ) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not, Results of a new diagnostic test for a condition are shown. Condition Present Condition Absent Row Total Test Result + 106 150 Test Result - NOR Column Total 129 Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. ( Enter your answers as fractions.) (a) P(+ | condition present); this is known as the sensitivity of a test. (b) P(- | condition present); this is known as the false-negative rate (c) P(- | condition absent); this is known as the specificity of a test. (d) P(+ | condition absent); this is known as the false positive rate e) P(condition present and - ); this is the predictive value of the test. P(condition present and )