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Suppose that the reliability of a HIV te...

Suppose that the reliability of a HIV test is specified as follows: Of people having HIV, 90% of the test detect the disease but 10% go undetected. Of people free of HIV, 99% of the test are judged HIV–ive but 1% are diagnosed as showing HIV+ive. From a large population of which only 0.1% have HIV, one person is selected at random, given the HIV test, and the pathologist reports him/her as HIV+ive. What is the probability that the person actually has HIV?

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PSEB-PROBABILITY-Exercise
  1. Suppose that the reliability of a HIV test is specified as follows: Of...

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  2. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E...

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  3. Compute P(A|B),if P(B) = 0.5 and P (A cap B) = 0.32

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  4. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(AcapB)

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  5. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(A|B)

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  6. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(AcupB)

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  7. Evaluate P(A cup B) if P(A) = P(B) = 5/ 13 and P(A|B) = 2/ 5

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  8. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(AcapB)

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  9. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(A|B)

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  10. If P(A) = 6/11 , P(B) = 5/11 and P(A cup B) = 7/11 find: P(B|A)

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  11. Determine P(E|F) if A coin is tossed three times, where : E : head on ...

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  12. Determine P(E|F) if A coin is tossed three times, where : E : at leas...

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  13. Determine P(E|F) : if A coin is tossed three times, where : E : at mo...

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  14. Determine P(E|F) if two coins are tossed once, where : E : tail appea...

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  15. Determine P(E|F) if two coins are tossed once, where : E : no tail app...

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  16. Determine P(E|F) if A die is thrown three times, where : E : 4 appear...

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  17. Determine P(E|F) Mother, father and son line up at random for a famil...

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  18. A black and a red dice are rolled :Find the conditional probability of...

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  19. A black and a red dice are rolled: Find the conditional probability of...

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  20. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3}, and G = ...

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  21. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3}, and G = ...

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