q9 According to the Internal Revenue Service, income tax returns one year averaged$1,332 in refunds for taxpayers. One explanation of this figure is that taxpayerswould rather have the government keep back too much money during the year thanto owe it money at the end of the year. Suppose the average amount of tax at the endof a year is a refund of $1,332, with a standard deviation of $725. Assume thatamounts owed or due on tax returns are normally distributed.a. What proportion of tax returns show a refund greater than $2,000?b. What proportion of the tax returns show that the taxpayer owes money to thegovernment?c. What proportion of the tax returns show a refund between $100 and $700?

(a) Obtain the proportion of tax returns show a refund greater than $2000. The proportion of tax returns show a refund greater than $2000 is obtained below as follows: The proportion of tax returns show a refund greater than $2000 is 0.1788.(b) Obtain the proportion of the tax returns shows that the taxpayer owes money to the government. The proportion of the tax returns shows that the taxpayer owes money to the government is obtained below as follows: The required probability is, The proportion of the tax returns shows that the taxpayer owes money to the government is 0.0329.(c ) Obtain the proportion of tax returns show a refund between $100 and $700. The proportion of tax returns show a refund between $100 and $700 is obtained below as follows: The required probability is, The proportion of tax returns show a refund between $100 and $700 is 0.1476