May/June 2026 Paper 61

The masses, in grams, of apples of a certain type have the distribution $\mathrm{N}(58.4,6.3^2)$. The apples are packed in bags, with each bag containing 10 randomly chosen apples.

Find the probability that a randomly chosen bag contains apples whose total mass is between $550\mathrm{g}$ and $600\mathrm{g}$.