According to the Australian Taxation Department, income tax returns one year averaged $1,300 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government hold money during the year than taxpayers owe money to the government at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $1,300, with a standard deviation of $720. Assume that amounts owed or due on tax returns are normally distributed.

i)What proportion of tax returns show a refund greater than $1,800?

ii)What proportion of the tax returns show that the taxpayers owes money to the government?

iii)What proportion of the tax returns show a refund between $200 and $800?