Compute $P(x)$ using the binomial probability formula. Then determine whether

he normal distribution can be used to estimate this probability. If so$,$

approximate $P(x)$ using the normal distribution and compare the result with

the exact probability.

$n=82,p=0\mathrm{.}77,$ and $x=67$

For $n=82,p=0\mathrm{.}77,$ and $x=67,$ find $P(x)$ using the binomial probability

distribution.

$P(x)=,(Roundto$ four decimal places $as$ needed.$)$