2024 TMJC H1 Q6

The masses of a particular type of chocolates are normally distributed with mean \(12.5\) g. The probability that a randomly chosen chocolate has mass more than \(13.5\) g is \(0.1\).

1. Find the variance of this distribution.[3]

The masses of a particular type of sweets have mean \(2.94\) g and variance \(1.62\) \(\mathrm{g}^2\).

2. Explain why it may not be appropriate for the mass of a randomly chosen sweet to be modelled by a normal distribution.[1]