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?
A) 0.184
B) 0.127
C) 0.020
D) 0.035

Question

Quizplus · Accepted Answer

The probability can be calculated using the multinomial probability formula: P(X1 = 6, X2 = 3, X3 = 1) = (10!/(6!3!1!)) * (0.53^6) * (0.15^3) * (0.32^1) = 0.020.

The Probability That Federal Income Tax Returns Will Have 0