Subject

    Computer Science

    Topic

    Artificial Intelligence

    A condition has prior 0.1, test sensitivity 0.8, and false-positive rate 0.2. What is P(condition given positive), rounded to three decimals?

    a)
    0.8
    b)
    0.692
    c)
    0.308
    d)
    0.1

    Explanation

    P(positive) = 0.1 × 0.8 + 0.9 × 0.2 = 0.08 + 0.18 = 0.26. P(condition | positive) = 0.08 ÷ 0.26 ≈ 0.308.

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