Using the following uniform density​ curve, answer the question. A coordinate system has a horizontal x-axis labeled from 0 to 8 in incremen

Question

Using the following uniform density​ curve, answer the question. A coordinate system has a horizontal x-axis labeled from 0 to 8 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.125 in increments of 0.125. A horizontal line segment extends from (0, 0.125) to (8, 0.125). A vertical line segment extends from (8, 0.125) to (8, 0). What is the probability that the random variable has a value greater than​ 5?

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Sadie 2 weeks 2021-10-08T08:15:13+00:00 1 Answer 0

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    2021-10-08T08:17:05+00:00

    Answer:

    0.375

    Step-by-step explanation:

    Given that a coordinate system has a horizontal x-axis labeled from 0 to 8 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.125 in increments of 0.125. A horizontal line segment extends from (0, 0.125) to (8, 0.125). A vertical line segment extends from (8, 0.125) to (8, 0).

    i.e. we can say X follows a uniform distribution with

    p(x) = 0.125, for 0\leq x\leq 8

    This is a continuous uniform distribution

    Required probability

    = the probability that the random variable has a value greater than​ 5

    = \int\limits^8_5 {0.125} \, dx \\= 0.125(8-5)\\= 0.375

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