$\"\"$

\

In the binomial distribution $\"\"$ and $\"\"$ .

\

Find the mean of the distribution.

\

$\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

\

$\"\"$

\

Find the roots of the quadratic equation $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$ .

\

$\"\"$ is closer to $\"\"$ than $\"\"$ .

\

Therefore, $\"\"$ .

\

The mean is $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .