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    Genetic probabilities

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    49% of the population has a particular gene. A test has been developed that can determine if a person has this gene or not. The test has a false positive (says the person has the gene when they don't) rate of 6%, and a false negative rate of 3%. What is the probability that a random person will test positive to having this gene using this test?

    © BrainMass Inc. brainmass.com April 3, 2020, 2:52 pm ad1c9bdddf
    https://brainmass.com/biology/genetics/genetic-probabilities-48938

    Solution Preview

    P(Gene) 0.49
    P(Test Gene / No Gene) 0.06
    P(Test No Gene / Gene) 0.03

    Apply Bayes theorem ...

    Solution Summary

    This solution applies the Bayes Theorem to determine the probability that a random person will test positive to having a certain gene using a certain test.

    $2.19

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