Question 3 (1 point) The IRS says (I am making up this scenario) that 5% of the

Question

Question 3 (1 point) The IRS says (I am making up this scenario) that 5% of the population cheat on the income taxes every year and the result is independent of age, ethnicity, and income bracket; let us say this number holds for every year. Suppose that 40% of the population that filed income taxes is between the ages of 18 to 44 years for the year 2010. Suppose we sampled three tax returns completely at random for the year 2010. What is the probability that at all three cheated on their income tax? Write your answer as the exact decimal if the number is less than or equal to the ten-thousands place, or round to the ten-thousandths place if the decimal is longer.

Explanation / Answer

probability of any random individual cheat =0.05

probability of three randomly indivudual cheat=(0.05)3=0.000125

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