Mathematics, 11.03.2020 20:26 edjiejwi
The Honolulu Advertiser states that in Honolulu there was an average of 860 burglaries per 100,000 households in a given year. In the Kohola Drive neighborhood there are 314 homes. Let r = 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. The Poisson approximation is good because n is small, p is small, and np < 10. The Poisson approximation is good because n is large, p is small, and np < 10. The Poisson approximation is good because n is large, p is small, and np > 10. The Poisson approximation is good because n is large, p is large, and np < 10. What is n? What is p? What is a to the nearest tenth? (Round your p to five decimal places.) p= 2 = (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.) Need Help? Read It
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