The weights, in kg, of bags of rice produced by Anders have the distribution \(N(2.02,0.03^2)\).

(a) Find the probability that a randomly chosen bag of rice produced by Anders weighs between 1.98 and 2.03 kg. [3]

The weights of bags of rice produced by Binders are normally distributed with mean 2.55 kg and standard deviation \(\sigma\) kg. In a random sample of 5000 of these bags, 134 weighed more than 2.6 kg.

(b) Find the value of \(\sigma\). [4]