Question

The Honolulu Advertiser stated that in Honolulu there was an average of 653.0 burglaries per 400000 households in a given year. In the Kohola Drive neighborhood there are 320 homes. Let r be the number of homes that will be burglarized in a year. The formula for the probability distribution of the random variable r is given as . Compute the probability for r=2. Round your answer to the nearest ten thousandth.

Select one:

a.   $ppg__cognero__Chapter5_Bank__media__57f4$

b. $ppg__cognero__Chapter5_Bank__media__5db1$

c. $ppg__cognero__Chapter5_Bank__media__bdf4$

d. $ppg__cognero__Chapter5_Bank__media__b063$

e. $ppg__cognero__Chapter5_Bank__media__23ee$

Answer 1

X = poisson (653/400000*320) = poisson ( 0.5224 )

P(X = 2) = e^(-0.5224) * 0.5224^2 /2

= 0.08092