Question
The Honolulu Advertiser states that in Honolulu there was an average of886burglaries per 100,000 households in a given year. In the Kohola Drive neighborhood there
The Honolulu Advertiserstates that in Honolulu there was an average of886burglaries per 100,000 households in a given year. In the Kohola Drive neighborhood there are316homes. Letr= 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 variabler.
The Poisson approximation is good becausenis large,pis small, andnp> 10.
The Poisson approximation is good becausenis large,pis large, andnp< 10.
The Poisson approximation is good becausenis large,pis small, andnp< 10.
The Poisson approximation is good becausenis small,pis small, andnp< 10.
What isn? What isp? What isto the nearest tenth? (Round yourpto five decimal places.)n=p==
(b) What is the probability that there will be no burglaries this year in the Kohola Drive neighborhood? (Round your answer to four decimal places.)
(c) What is the probability that there will be no more than one burglary in the Kohola Drive neighborhood? (Round your answer to four decimal places.)
(d) What is the probability that there will be two or more burglaries in the Kohola Drive neighborhood? (Round your answer to four decimal places.)
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