SOLUTION: The probability that federal income tax returns will have 0,1,or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probabilit

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that federal income tax returns will have 0,1,or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probabilit      Log On


   



Question 436636: The probability that federal income tax returns will have 0,1,or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors?
Answer by stanbon(75887) About Me  (Show Source):
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The probability that federal income tax returns will have 0,1,or 2 errors is 0.73, 0.23, and 0.04, respectively. If 10 randomly selected returns are audited, what is the probability that eight will have no errors, two will have one error, and none will have two errors?
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Multinomial Probability:
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Prob = [10!/(8!*2!*0!)][0.73^8*0.23^2*0.04^0]
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= 45*0.004266
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= 0.192
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Cheers,
Stan H.
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