(Solved): Compute P(X) using the binomial probablity formula. Then determine whether the normal distribution ...

Compute $P(X)$ using the binomial probablity formula. Then determine whether the 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. $n=55,p=0.4,\text{ and }X=20$ For $n=55,p=0.4$, and $X=20$, find $P(X)$. $P(X)=$ (Round to four decimal places as needed.)