Using the R functions pbinom $(),$ pnorn$(),$ and ppois $(),$ determine which of the following options are correct for $n=1000$ and $p=0\mathrm{.}1.$ Note that More than one option may be correct.

For calculating $P(x110),$ the Poisson approximation is better than the Normal approximation.

For calculating $P(x90),$ the Poisson approximation is better than the Normal approximation.

For calculating $P(x100),$ the Poisson approximation is better than the Normal approximation.

For calculating $P(x10),$ the Poisson approximation is better than the Normal approximation.