Question

In 2010 (with ~320 million people occupying 124.5 million homes nationwide), there were slightly more than...

In 2010 (with ~320 million people occupying 124.5 million homes nationwide), there were slightly more than 888,000 burglaries in a residence.

a. What is the probability your home will be broken into within the next year?

b. If your home is in a development of 100 homes, what number of break-ins can you expect in the next 20 years?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a) The number of burglaries in a residence can be assumed to be Poisson distributed with parameter (mean)

The PMF of is

. Here .

The probability of at least one burglary in a home next year is

b) The number of burglaries per home per year is 0.00713. The number of burglaries per 100 homes per year is

The number of break-ins in 20 years is

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