Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives.

Let $F(x)$ be the predicate $"x$ is your friend" and $P(x)$ the predicate $"x$ is perfect", where $x$ ranges over all people.

$($a$)$ No one is perfect.

$($b$)$ Not everyone is perfect.

$($c$)$ All your friends are perfect.

$($d$)$ At least one of your friends is perfect.

$($e$)$ Everyone is your friend and is perfect.

$($f$)$ Not everybody is your friend or someone is not perfect.