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A laboratory blood test is 99% effective...

A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive ?

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MODERN PUBLICATION-PROBABILITY-EXERCISE
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  2. Of the students in a college, it is known that 60% reside in hostel an...

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  3. A laboratory blood test is 99% effective in detecting a certain diseas...

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  4. Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin t...

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  5. There see three coins,one is a two headed coin (having head on both th...

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  6. In a cer tain college, 4% of boys and 1% of girls are taller than 1.75...

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  7. Coloured balls are distributed in three bags as shown in the following...

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  8. Three bags contain balls as shown in the table below: A bag is chose...

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  9. An urn contains 5 red and 2 black balls. Two balls are randomly drawn....

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  10. Let X represent the difference between the number of heads and the num...

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  11. A random variable 'X' has the following probability distribution: Fi...

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  12. A random variable 'X' has the following probability distribution: Fi...

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  13. A random variable 'X' has the following probability distribution: Fi...

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  14. A random variable has the following probability distribution : Find ...

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  15. A random variable has the following probability distribution : Obtai...

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  16. An unbiased coin is thrown thrice. If the random variable X denotes th...

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  17. Find the probability distribution of the number of tails when two coin...

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  18. Find the probability distribution of the number of tails when two coin...

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  19. A coin is tossed 5 times . X is the number of heads of observed . Find...

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  20. Find the Probability distribution of the number of heads when three co...

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