Please do not copy from chegg otherwise i have to report the answer. Explain the answer throughly with showing each step of the calculation.

Please answer the following question as though you were teaching a student to solve this type of problem. Provide a step-by-step explanation for how you arrived at your solution.

A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100, how likely is it that the sample mean will be within +/- 5 of the population mean?