(i)[3]
The amount of soup in Super Soup cartons follows a normal distribution with mean $\mu$ millilitres and standard deviation $9$ millilitres. Testing has shown that $10\%$ of cartons contain under $440$ millilitres of soup. Find the value of $\mu$.
(ii)[3]
A food retailer places an order for $150$ Super Soup cartons. Calculate how many of these cartons you would expect to have a soup volume that is more than $1.8$ standard deviations above the mean.