Question

Suppose​ that, on​ average, 1 person in 1000 makes a numerical error in preparing his or...

Suppose​ that, on​ average, 1 person in 1000 makes a numerical error in preparing his or her income tax return. If 12,000 returns are selected at random and​ examined, find the probability that 10, 11​, 12 or 13 of them contain an error.

The probability that 10, 11​, 12 or 13 income tax returns contain an error is __?

Math   Statistics-And-Probability   
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Answer #1

On average, 1 person in 1000 makes a numerical error in preparing his or her income tax return.

12000 are examined at random, and examined.

So, the average number of people who make an error in these 12000 is

So, if X be the random variable, then X follows poisson with parameter 12.

So, the PMF is

We have to find

By putting 10, 11, 12 and 13 in the values, we get

So, the answer is 0.4389.

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