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An insurance company insured 2000 scoote...

An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accidents are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he i

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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 % of the population actually has the disease, what is the probahility that a person has disease given that his test result is positive ?