Any help on this problem would be greatly appreciated.
"When I write checks I record the amount rounded off to the nearest dollar. Assume for simplicity that X = the roundoff error from a single transaction (in cents) has the continuous distribution X ~ Uniform(-50,50). After 100 independent trials, what is the probability that my financial records differ from my account balance by more than $7 (i.e. 700 cents)."
This problem is located under the heading "Central Limit Thm, Normal approximation to binomial"
Thanks in advance.