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    Poisson & Normal Probabilities - Contingency Tables

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    Q4: 4 (+) Given the following contingency table:
    B B'
    A 10 30
    A' 25 35
    Find the following:
    a) A | B
    b) A' | B'
    c) A | B'

    Q4: 5 The manager of a large computer network has developed the following probability distribution of the number of interruptions per day:
    Interruptions (X) P(X)
    0 0.32
    1 0.35
    2 0.18
    3 0.08
    4 0.04
    5 0.02
    6 0.01
    a. Compute the expected number of interruptions per day

    Q4: 5 (+) Two investments, X and Y, have the following characteristics:
    E(X) = $50, E(Y) = $100, s2X = $9,000, s 2y = $15,000, and s 2XY = $7,500.
    If the weight of portfolio assets assigned to investment X is 0.4, compute the
    a. portfolio expected return

    s2x $9,000
    s2y $15,000
    s2xy $7,500
    E(X) $50
    E(Y) $100
    w(x) 0.4
    b. portfolio risk

    Q4: 5 (+) Assume a Poisson distribution.
    a. If lamda = 2, find P( X >= 2 ) l = 2
    X = 2

    Q4: 6 Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1,
    as in Table E.2), what is the probability that:
    a. Z is less than 1.57
    b. Z is greater than 1.84
    c. Z is between 1.57 and 1.84

    Q4: 6 (+) Given a normal distribution with mean = 100 and standard deviation = 10, what is
    a. P( X > 75 ) ? m = 100
    b. P( X < 70 ) ? s = 10

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    https://brainmass.com/statistics/probability/poisson-normal-probabilities-contingency-tables-443955

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    Solution Summary

    The solution provides step by step method for the calculation of Poisson and Normal probabilities. Formula for the calculation and Interpretations of the results are also included.

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