The honolulu advertiser stated that in honolulu there was an average of 661 burglaries per 400,000 households in a given year. in the kohola drive neighborhood there are 317 homes. let r be the number of homes that will be burglarized in a year. compute the probability for r > or equal to 2 round your answer to the nearest ten thousandth.

a)0.3010
b) 0.1013
c) 0.0144
d) 0.0902
e) 0.0369

D) 0.0902

Step-by-step explanation:

Data provided in the question:

Probability of burglary, p =

= 0.00165      

q = 1 - p                

or                    

q = 1 - 0.00165                      

or                    

q = 0.99835                              

Now,

P(r ≥ 2) = 1 - P(r < 2)

= 1 - [ P(0) + P(1) ]

= 1 - [   ]

[ as P(x) = ]

= 1 - [ 0.593 + 0.3168]

= 1 - 0.9098

= 0.0902

Hence,

Option (D) 0.0902

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0