## 12. Correct. The answer is false. To
answer this question, firstly you have to define the following events:

E_{1}:
a tax return which was properly filled.

E_{2}:
a tax return with errors which favor the taxpayer.

E_{3}:
a tax return with errors which favor the government.

E_{4}:
a tax return with both kinds of errors.

The probabilities of occurrence
of each event are:

p_{1} = P[E_{1}] =
0.60, p_{2} = P[E_{2}] = 0.20, p_{3} = P[E_{3}]
= 0.10, p_{4} = P[E_{4}] = 0.10,

The experiment consists of
choosing at random a tax return. The possible outcomes are the mutually
exclusive events E_{1}, E_{2}, E_{3}, and E_{4}.
The experiment (random process) is repeated ten times. The probabilities are
supposed to be constant in the ten trials. Applying the multinomial
distribution con n = 10, we have that:

P(5,3,1,1)
= _{}

##