Consider a binomial experiment with $n=13$ and $p=0\mathrm{.}3.$

a$.$ Compute $f(0)($to $4$ decimals$).$

$f(0)=$

$$

b$.$ Compute $f(1)($to $4$ decimals$).$

$f(1)=$

$$

c$.$ Compute $P(x3)($to $4$ decimals$).$

$P(x3)=$

$$

d$.$ Compute $P(x2)($to $4$ decimals$).$

$P(x2)=$

$$

e$.$ Compute $E(x)($to $1$ decimal$).$

$E(x)=$

$$

f$.$ Compute Var$(x)$ and $.$

Var$(x)=$

$($to $2$ decimals$)($to $2$ decimals$)$