5 Company \(A\) produces bags of sugar. An inspector finds that on average \(10 \%\) of the bags are underweight.
10 of the bags are chosen at random.
- Find the probability that fewer than 3 of these bags are underweight.
The weights of the bags of sugar produced by company \(B\) are normally distributed with mean 1.04 kg and standard deviation 0.06 kg . - Find the probability that a randomly chosen bag produced by company \(B\) weighs more than 1.11 kg .
\(81 \%\) of the bags of sugar produced by company \(B\) weigh less than \(w \mathrm {~kg}\). - Find the value of \(w\).