The length or the shaft has an average of $6\mathrm{.}5cm$ with a standard deviation of $1\mathrm{.}3cm.$ Assume the length of the shaft follows a Normal Distribution.

$($a$)$ What is the percentage of the shaft's length less than $5\mathrm{.}5cm?$

$($b$)$ What is the percentage of the shaft's length between $4\mathrm{.}5cm$ and $8\mathrm{.}5cm?$

$($b$)$ What will be the length of the shaft at the bottom of $10\%?$

Round the answer in $4$ decimals places.