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    Mathematics - Binomial and Poisson probabilities

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    Objective: Calculate binomial and Poisson probabilities.

    1) Chapter 5: Problem 5.5 (binomial)
    Solve the following problems by using the binomial formula.
    a. If n = 4 and p = .10 , find P(x = 3) .
    b. If n = 7 and p = .80 , find P(x = 4) .
    c. If n = 10 and p = .60 , find P(x ≥ 7) .
    d. If n = 12 and p = .45 , find P(5 ≤ x ≤ 7) .

    2) Chapter 5: Problem 5.6 (binomial) ...
    3) Chapter 5: Problem 5.15 (Poisson)a,b,c,d,e,f ...
    4) Chapter 5: Problem 5.16 (Poisson)a,b,c,d,e,f ...

    [See the attached Question File.]

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    https://brainmass.com/math/discrete-math/mathematics-binomial-poisson-probabilities-192268

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    5.5 Solve the following problems by using the binomial formula.
    a. If n = 4 and p = .10 , find P(x = 3) .
    b. If n = 7 and p = .80 , find P(x = 4) .
    c. If n = 10 and p = .60 , find P(x ≥ 7) .
    d. If n = 12 and p = .45 , find P(5 ≤ x ≤ 7) .

    P(n, r) = nCx p^x q^(n - x)
    (a) P(4, 3) = 4C3 * 0.1^3 * 0.9^1 = 0.0036
    (b) P(7, 4) = 7C4 * 0.8^4 * 0.2^3 = 0.115
    (c) P(x ≥ 7) = P(10, 7) + P(10, 8) + P(10, 9) + P(10, 10)
    = 10C7 * 0.6^7 * 0.4^3 + 10C8 * 0.6^8 * 0.4^2 + 10C9 * 0.6^9 * 0.4^1 + 10C10 * 0.6^10 * 0.4^0 = 0.382
    (d) P(5  x  7) = P(12, 5) + P(12, ...

    Solution Summary

    The expert examines the binomial and Poisson probabilities objective. Neat, step-by-step soltuions are provided for all the questions.

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