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Binomial Distribution: Manipulating the Binomial Formula

APSTAT-SSXFT8

A random variable $X$ has the probability

$$\begin{pmatrix} 20 \\\ k \end{pmatrix}(0.44)^{k}(0.56)^{20-k}$$

...associated with the value $k$ for $k= 0,1,2,3,…,20$.

What is the mean of $X$?

A

$4.4$

B

$5.6$

C

$8.8$

D

$10$

E

$11.2$