Haskell Exercising Handout

Given the following function definition in Haskell:$($The operator $++$ concatenates two lists$)$What is the result of f$[3,4,5]?2)$ Write a function in Haskell that computes the number of lower$-$case letters in a string. For example, for "adGGerHj" your function should return $5.($Tip: The Haskell$-$prelude contains a function Char. isLower for determining whether a character is in lower$-$case or not.$)3)$ Write a function in Haskell that takes a list of pairs of length at least $2$ and returns the first component of the second element in the list. So$,$ for the list $[(5,^(\text{'})$a$^(\text{'})),(7,^(\text{'})$z$^(\text{'})),(3,^(\text{'})$F$^(\text{'}))]$ it shall return $7\mathrm{.}4)$ Write the factorial function in Haskell. Tip: The pattern matching of case$-$of works for single numerical values as well. $($case$-$of behaves for single numerical values similar to the switch statement of C$,$C$++)$