5 The weights of the green apples sold by a shop are normally distributed with mean 90 grams and standard deviation 8 grams.
- Find the probability that a randomly chosen green apple weighs between 83 grams and 95 grams.
\includegraphics[max width=\textwidth, alt={}, center]{ad3a6a8a-23fe-415a-b2f4-7c49136ccc6c-09_2717_29_105_22} - The shop also sells red apples. \(60 \%\) of the red apples sold by the shop weigh more than 80 grams. 160 red apples are chosen at random from the shop.
Use a suitable approximation to find the probability that fewer than 105 of the chosen red apples weigh more than 80 grams.