Please answer question (1) b. "In Haskell"

weighs 1370 01 place. Ihe assignment COLISIsung 01 all ou for the class. (1) Define the following in Haskell: (a) A function checksum::Int -> Int -> Int -> Bool that evaluates to True on input a, b and c if and only if a +b = c. (b) A function higherchecksum: : (Int -> Int) -> Int -> Int -> Int -> Bool that evaluates to True on input f, a, b and c if and only if f(a) + f(b) = f(c). For (b) check that the provided tests evaluate to True. (2) Define a function notdivisible:: Int -> Int -> Bool that evaluates to True on input a and b if and only if a is not divisible by b (in particular, if b == 0). Test this function by entering the following expression into ghci: filter (\x -> notdivisible x 2) [0..100] Play with the expression in order to understand what is happening. (3) The following Haskell expression defines the list of integers from 0 to 1000: list = [x | x Int that computes for any positive integer n the squared factorial (n!)2 == (1 * ...* n)? (b) What happens if you run the program on input 50? Explain! (answer to part (b) does not need to be submitted)