Natalie is having a party and wants to order some pizzas. there will be 57 guests and she wants to ensure everyone gets a piece of pizza. he wants to pay the lowest possible amount and wants everyone to get an equal share. small pizzas are 20 cm; serve 12 people and cost 13.50 per pizza while the large one is 25 cms serves 20 peole and costs 18.75. how much will she have to pay for her order?

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! )

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve