Forty$-$five percent of consumers say it is important that the clothing they buy is made without child labor. You randomly select $16$ consumers. Find the probability that the number of consumers who

say it is important that the clothing they buy is made without child labor is $($a$)$ exactly three, $($b$)$ at least eleven, and $($c$)$ less than twelve.

$($a$)$ The probability that the number of consumers who say it is important that the clothing they buy is made without child labor is exactly three is exactly three