$.$ Majority Rules $[6$ points$]$

Let # be the majority operator, which takes three truth values on input and which returns

a truth value indicating whether a majority $($at least two$)$ of them are True. Write a

logical expression equivalent to #$($p$,$ q$,$ r$)$ using only the symbols p$,$ q$,$ r$,,,$ and parentheses.

Justify your expression in $1-2$ sentences.