- The weights, \(W\) grams, of kiwi fruit grown on a farm are normally distributed with mean 80 grams and standard deviation 8 grams.
The table shows the classifications of the kiwi fruit by their weight, where \(k\) is a positive constant.
| Small | Large |
| Tiny | Petite | Extra | Jumbo | Mega |
| \(w < 66\) | \(66 \leqslant w < 70\) | \(70 \leqslant w < 80\) | \(80 \leqslant w < k\) | \(w \geqslant k\) |
One kiwi fruit is selected at random from those grown on the farm.
- Find the probability that this kiwi fruit is Large.
35\% of the kiwi fruit are Jumbo.
- Find the value of \(k\) to one decimal place.
75\% of Tiny kiwi fruit weigh more than \(y\) grams.
- Find the value of \(y\) giving your answer to one decimal place.