Question

The Honolulu Advertiser stated that in Honolulu there was an average of 661 burglaries per 100,000 households in a given year. In the Kohola Drive neighborhood there are 316 homes. Let r ϭ number of these homes that will be burglarized in a year.
(a) Explain why the Poisson approximation to the binomial would be a good choice for the random variable r. What is n? What is p? What is l to the
nearest tenth?
(b) What is the probability that there will be no burglaries this year in the Kohola Drive neighborhood?

Answer 1

(c) What is the probability that there will be no more than one burglary in the Kohola Drive neighborhood?
(d) What is the probability that there will be two or more burglaries in the Kohola Drive neighborhood?

Answer 2

@mathstudent55

Answer 3

so first of all recognize that n is large, but p is small, so the poisson distribution is a better candidate than the normal for approximating this problem. So, what would n be? would would p be?

Answer 4

n=100,000
p=661
n=316
p=?

Answer 5

Well, we're interested in using the Poisson distribution for the Kohola Drive neighborhood only... so what would n be? and p?

Answer 6

\(\lambda\)?

Answer 7

yes ^

Answer 8

so what's the poisson distribution?