# Thread: [SOLVED] Uniform Distribution Question

1. ## [SOLVED] Uniform Distribution Question

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. 2. Originally Posted by arsenicx101 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"

After n transactions the round off error is approximatly normal with SD equal
to sqrt(n)*s, where s is the standard deviation of the round off on a single
transaction, which in this case is 100/sqrt(12).

The above should allow you to answer this question.

RonL