Due to population growth in the town of Euclid, enrollment at Euclid High School
has reached 2000 students, 800 students
over its capacity. To account for overflow,
the town is building Pythagoras High School.
Both Euclid High School and Pythagoras
High School have a maximum capacity of
1200 students. Before creating new attendance
boundaries, the school board must analyze
the population densities of high school students
in Euclid neighborhoods. On the map shown,
the grid lines are roads and each unit square
represents one square mile. Use the
map of
Euclid to complete the table. Round your
answers to the nearest tenth, if necessary.

Step-by-step explanation:

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )