Each time Jim charges an item to his credit card, he will round-off the amount to the nearest

dollar in his records. Assume that the round-off error associated with each transaction is

uniform on the interval (-$0.50, $0.50). If he has used his credit card 300 times in the past

year, what is the approximate probability based on the Central Limit Theorem, that his record

differs from the average expenditure by at most

30

1

$ ?