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2 March, 04:37

For a particular disease, the probability of having the disease in a particular population is 0.04. If someone from the population has the disease, the probability that she/he tests positive of this disease is 0.95. If this person does not have the disease, the probability that she/he tests positive is 0.01. What is the probability that a randomly selected person from the population has a positive test result

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  1. 2 March, 06:01
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    4.76% probability that a randomly selected person from the population has a positive test result

    Step-by-step explanation:

    We have these following probabilities:

    4% probability of having the disease.

    If a person has a disease, 95% probability of a positive test.

    100-4 = 96% probability a person does not have the disease.

    If a person does not have the disease, 1% probability of a positive test.

    What is the probability that a randomly selected person from the population has a positive test result

    95% of 4% and 1% of 96%. So

    p = 0.95*0.04 + 0.01*0.96 = 0.0476

    4.76% probability that a randomly selected person from the population has a positive test result
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