On average, $6$ batteries are produced every day by a manufacturer are considered "bad". Assume that the number of battery produce within a day follows a Poisson distribution,

$P(r)=\frac{{}^r}{r!}{e}^{-},$ where $=np$

$($a$)$ What is the probability that $2$ bad batteries are produced in one day?

$($b$)$ What is the probability that only $2$ or fewer bad batteries are produced in one day?

$($c$)$ What is the probability that only $1$ bad battery is produced in half$-$day?

Round the answer in $4$ decimals places.