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i was wondering if someone could point me in the right direction?

i really have no idea where to start. and noone i seem to ask has any useful info.

## Homework Statement

**Background knowledge:**

In a very simplified SAI allocation system, the top student is awarded 400, the bottom student is awarded 200 and the remainder of the cohort is given a whole number score beetween these values (reflecting their position in the cohort).

Across the state, OP's (overall positions) are awarded according to the following approximate percentage breakdown. the top 2% of students recieve an OP of 1; the next 19% recieve an OP 2-6; the next 73% recieve an OP 7-21; the next 5% recieve an OP 22-24; and the final 1% recieve an OP 25.

**QUESTION IS AS FOLLOWS:**

Consider a cohort of 15 students. investigate possible SAI allocations with the gloal of achieving the best possible OP results for your cohort.

## Homework Equations

Normal Distribution Formula :

**Comments:**

i don't expect anyone to give me the answer i just want to be pointed in the right direction

thanks in advance!

~Dru Arnfield