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11 February, 09:48

An internal revenue oversight board survey found that 82% of taxpayers said that it was very important for the internal revenue service (irs) to ensure that high-income tax payers do not cheat on their tax returns (the wall street journal, february 11, 2009).

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  1. 11 February, 13:18
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    The problem is missing the main question.

    The main question is: what is the probability that at least six taxpayers in a sample of 8 say that it is very significant to safeguard that high-income tax payers do not swindle on their tax returns? Use the binomial distribution probability function.

    Solution:

    Let X be the number of taxpayers say that it is very significant to safeguard that high-income tax payers do not swindle on their tax returns.

    X ~ (n = 8, p = 0.82)

    P (at least six taxpayers)

    = P (X ≥ 6)

    = 1 - P (X ≤ 5)

    = 1 - 0.1608

    = 0.8392 is the answer
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