# 2012 A-level H2 Mathematics (9740) Paper 2 Question 10 Suggested Solutions All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)
Firstly, gold coins are scattered randomly in a randomly chosen region of .
Secondly, the mean number of gold coins found in any randomly chosen region of is constant.
Lastly, the finding of a gold coin in a randomly chosen region of area is independent of the finding of another gold coins.

(ii)
Let X denote the number of gold coins in a region of .   (iii)
Let Y denote the number of gold coins found in a region of .  Using the Graphing Calculator, (iv)
Let W denote the number of gold coins found in a region of  Since , approximately  by continuity correction (v)
Let C and S denote the number of gold coins and pottery shards in in a region of respectively. Since , approximately. Since , approximately. approximately   (vi) approximately  by continuity correction Not readable? Change text. 