Read the following article:

Minitab Blog Editor. (2016). Weight for it! A healthy application of the central limit theorem. Minitab.

Under the section "A More Realistic Look at the Assumptions" consider the following:

The mean of X is slightly negative, say 10 calories less in than out per day. Also, assume the standard deviation is still 3820 of my yearly calories balance.

1. Means add up, so over a year, what is the mean imbalance?
2. On average I'll (loss or gain) how many pounds?
3. In that case, applying the central limit theorem again, what's my probability of gaining a pound or more in a year?