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    Unique Distribution

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    If a balanced die is rolled six times and the outcomes create a unique distribution, perform the following:
    P(exactly three fives) {Use formula}
    mean {Use formula}
    variance {use formula}
    standard deviation {use formula}

    Problem # 2
    If 20% of the bolts produced by a machine are detective, then out of eight randomly chosen bolts find the following
    P(three defective bolts) {use TI 83}
    P(zero defective bolts) {use TI 83}
    mean
    variance
    standard deviation

    Problem #3
    If a coin is tossed six times and the outcomes create a unique distribution perform the following:
    Fill in the distribution table (x, P(x))

    P(more than four heads)
    P(at least three heads)
    P(less than two heads)

    Use the table in each case.

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    https://brainmass.com/statistics/standard-deviation/unique-distribution-17081

    Solution Preview

    Please see attachment for the full solution.

    If a balanced die is rolled six times and the outcomes create a unique distribution, perform the following:
    P(exactly three fives) {Use formula}
    mean {Use formula}
    variance {use formula}
    standard devaiation {use formula}
    Solution.

    (1) Denote the number of times the five occurs by X, then X follows binomial distribution with parameter n=6 and p=1/6, ie., X~b(6,1/6). So,

    So, ...

    Solution Summary

    The solution discusses how a balanced die is rolled six times and the outcomes create a unique distribution.

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