Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with parameter μ = 5.

Question

Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with parameter μ = 5. Use the cumulative Poisson probabilities from the Appendix Tables to compute the following probabilities. (Round your answers to three decimal places.)(a) P(X ≤ 8)(b) P(X = 8)(c) P(9 ≤ X)(d) P(5 ≤ X ≤ 8)(e) P(5 < X < 8)

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Sarah 2 months 2021-10-01T13:35:50+00:00 1 Answer 0 views 0

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    2021-10-01T13:37:01+00:00

    Answer:

    (a) 0.932

    (b) 0.0653

    (c) 0.032

    (d) 0.316

    (e) 0.251

    Step-by-step explanation:

    From the table with mean parameter μ = 5, we can compute the following cumulative and density probability

    (a) P(X \leq 8) = 0.932 (cumulative)

    (b) P(X = 8) = 0.0653 (density)

    (c)  P(9 \leq X) = 1 - P(X \leq 9) = 1 - 0.968 = 0.032 (cumulative)

    (d) P(5 \leq X \leq 8) = P(X \leq 8) - P(X \leq 5) = 0.932 - 0.616 = 0.316 (cumulative)

    (e) P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251

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45:7+7-4:2-5:5*4+35:2 =? ( )