* iii) Amounts to be paid are rounded to the nearest 5 cents when paid for in cash. If paid for electronically (via credit card or EFTPOS), the exact amount is charged. You can abuse the rounding system by paying for transactions in cash when the amount will be rounded down, and paying electronically (credit card or EFTPOS) when the amount would have been rounded up. Let Y be the amount of money you save by using this approach, in a transaction that would be rounded to the nearest 5 cents if paid for in cash. a) Find the probability function for Y. b) Use Y to find the amount of money you expect to gain in the year, if you make a total of 500 transactions in a year. * iii) Amounts to be paid are rounded to the nearest 5 cents when paid for in cash. If paid for electronically (via credit card or EFTPOS), the exact amount is charged. You can abuse the rounding system by paying for transactions in cash when the amount will be rounded down, and paying electronically (credit card or EFTPOS) when the amount would have been rounded up. Let Y be the amount of money you save by using this approach, in a transaction that would be rounded to the nearest 5 cents if paid for in cash. a) Find the probability function for Y. b) Use Y to find the amount of money you expect to gain in the year, if you make a total of 500 transactions in a year