On average, part$-$time workers in a construction company are paid $$6\mathrm{.}5$ per hour, with a standard deviation of $$1\mathrm{.}30$ per hour. Assume the hourly pay follows a Normal Distribution.

$($a$)$ What percentage of the workers receive wages less than $$5\mathrm{.}00$ per hour?

$($b$)$ What percentage of the employees receive an hourly wage between $$4\mathrm{.}50$ and $$8\mathrm{.}50?$

$($c$)$ What will be the maximum wages of the workers at the bottom $10\%$ of the wage distribution?

Round the answer to $4$ decimals places.