Please stuck on this question need help

1. For these two problems related to the Island of Knights and Knaves, consider the propositional function K(z) = "z is a knight", where the dornain for z is all of the inhabitants of the Island. (a) While performing an academic survey on the Island of Knights and Knaves you manage to speak to every inhabitant on the island and each one tells you "Some of us are Knights and some of us i. Translate this statement into a predicate statement using quantifiers, connectives and K(z) ii. What can you conclude? Note that a truth table won't be much help because you don't know are Knaves You may not define any other propositi onal functions. how many people live on the island. Instead you should come up with a sensible argument and justify it as concisely as possible. (b) While performing a much lazier academic survey on the Island of Knights and Knaves you speak i. Translate this statement into a predicate statement using quantifiers, connectives and K(z) ii. What can you conclude? Again, do not use a truth table; a well-constructed argument will to only one inhabitant on the island and they tell you "All of us are Knavs" You may not define any other proposition al functions. suffice