Difficult# Farmer's Harvest

APSTAT-7LTTYI

A farmer’s harvest of apples has a normal distribution with the distribution of individual apple weights $µ = 5\text{ ounces}$, and $σ = 0.5\text{ ounces}$.

Two apples are randomly chosen from this year’s harvest. The difference in the weights of the two apples is a normally distributed random variable.

What are the mean and standard deviation of this distribution of differences?