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).

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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