SOLUTION: Dottie's Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns s
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Question 924978: Dottie's Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared indicated that an error was made on 12 percent of the returns she prepared last year. Assuming this rate continues into this year and she prepares 52 returns. What is the probability that she makes errors on:
(a)
More than 6 returns? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Probability
(b)
At least 6 returns? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Probability
(c)
Exactly 6 returns? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Probability
thank you for all of your help!
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
p(error) = .12, n = 52
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P( x > 6) = 1 - binomcdf(52, .12, 6) -= 1 - .5655 = .4345
P(x ≤ 6) = binomcdf( 52, .12, 6) = .5655
P(x = 6) = binompdf(52, .12, 6) = .1698
0r
P(x = 6) = 52C6(.12)^6(.88)^46
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