Given that $x$ is a random variable having a Poisson distribution, compute the following:

(a) $P(x = 2)$ when $\mu = 3.5$
$P(x) =$

(b) $P(x \leq 2)$when $\mu = 5$
$P(x) =$

(c) $P(x > 9)$ when $\mu = 3.5$
$P(x) =$

(d) $P(x < 2)$ when $\mu = 4.5$
$P(x) =$