A test for a condition is given to a sample of patients. The results from the test and actual data are given below. For (a)–(c), one person is randomly selected.   Has the condition with a positive test result-26 Has the condition with a negative test result-9 Does not have the condition with a positive test result-11 Does not have the condition with a negative test result-15 a) What is the probability that the randomly selected person had the condition? b) What is the probability that the randomly selected person had a false positive test? c) What is the probability that the person had the condition or tested negative?

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A test for a condition is given to a sample of patients. The results from the test and actual data are given below. For (a)–(c), one person is randomly selected.

 

Has the condition with a positive test result-26

Has the condition with a negative test result-9

Does not have the condition with a positive test result-11

Does not have the condition with a negative test result-15

a) What is the probability that the randomly selected person had the condition?

b) What is the probability that the randomly selected person had a false positive test?

c) What is the probability that the person had the condition or tested negative?

d) If three people are randomly selected, without replacement, what is the probability that all three of them had the condition?

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