Stats Problem - Central Limit Theorem

An economist wants to estimate the average hourly wage of waitresses in a large metropolitan area. This will be done randomly surveying 250 waitresses and calculating the sample mean. Find the probability that the estimate will be in error by more than 5 cents. Assume that the population's standard deviation is 45 cents.

**The answer is .0784** but I don't understand how to get it.

Can someone take me step by step on how to solve this problem?

Thank you so much!!(Happy)