Each Time Jim Charges An Item To His Credit Card

Each time Jim charges an item to his credit card, he will round-off the amount to the nearestdollar in his records. Assume that the round-off error associated with each transaction isuniform on the interval (-$0.50, $0.50). If he has used his credit card 300 times in the pastyear, what is the approximate probability based on the Central Limit Theorem, that his recorddiffers from the average expenditure by at most301$ ?

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Each time Jim charges an item to his credit card

Question
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

$ ?

find the cost of your paper