SOLUTION: The probability that federal income tax returns will have 0,1, or 2 errors is 0.53, 0.15, and 0.32 respectively. If 10 randomly selected returns are audited, what is the probabilit

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: The probability that federal income tax returns will have 0,1, or 2 errors is 0.53, 0.15, and 0.32 respectively. If 10 randomly selected returns are audited, what is the probabilit      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 133742: The probability that federal income tax returns will have 0,1, or 2 errors is 0.53, 0.15, and 0.32 respectively. If 10 randomly selected returns are audited, what is the probability that six will have no errors, three will have one error, and one will have two errors?
Answer by stanbon(57285) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that federal income tax returns will have 0,1, or 2 errors is 0.53, 0.15, and 0.32 respectively. If 10 randomly selected returns are audited, what is the probability that six will have no errors, three will have one error, and one will have two errors?
-----------------------------------------
Multinomial Probability:
P = [n!/x1!*x2!*x3!]
Your Problem:
P = [10!/(6!*3!*1!]
P = [4!/6]
P = 4*0.0154
P = 0.0614
===============
Cheers,
Staln H.