Question

which of the following is not a characteristic of a Poisson experiment

JUUael di Comprehension and not flipping pages to find the answer Question 14 5 pts According to the IRS, 1.1% of tax returns will be audited in 2011. A random sample of 40 tax returns was selected. Use the Poisson distribution to approximate the binomial distribution to determine the probability that more than two of these tax returns will be audited. 0.1215 0.3366 0.2067 0.0726

Answer 1

The formula for computing probabilities that are from a Poisson process is:

$P\left(x\right)=\frac{{\mu }^{x}{e}^{-\mu }}{x!}$

where P(X) is the probability of X successes, μ is the expected number of successes based upon historical data, e is the natural logarithm approximately equal to 2.718, and X is the number of successes per unit, usually per unit of time.

According to the IRS,1.1% of tax returns will be audited in 2011. A random sample of 40 tax returns were selected. Use the poisson distribution to approx the binomial distribution, the probability that more than two of these tax returns will be audited is 0.2067.