2 The weights of large bags of pasta produced by a company are normally distributed with mean 1.5 kg and standard deviation 0.05 kg .
- Find the probability that a randomly chosen large bag of pasta weighs between 1.42 kg and 1.52 kg .
The weights of small bags of pasta produced by the company are normally distributed with mean 0.75 kg and standard deviation \(\sigma \mathrm { kg }\). It is found that \(68 \%\) of these small bags have weight less than 0.9 kg . - Find the value of \(\sigma\).