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6 June, 23:56

Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p (x >2.5 | x ≤ 4).

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  1. 7 June, 00:22
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    Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore

    p (x) = 1/4, x=[1, 5]

    The value of p (x) ensures that the total area under the curve = 1.

    The conditional probability p (x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is

    p (x > 2.5 | x ≤4) = (1/4) * (4 - 2.5) = 0.375

    Answer: 0.375
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