A random variable $X$ follows binomial probability distribution with probability $P\left(X\right),$  with mean as $2,$ probability of success as $p$ and probability of failure as $q$ such that $p+q=1.$ If $\mathrm{\Sigma }{X}^{2}P\left(X\right)=\frac{28}{5},$ then the probability of exactly $2$ success is

• A

  $\frac{3\times 2^{14}}{5^{10}}$
• Correct answer
  B

  $\frac{3^2\times 2^{16}}{5^9}$
• C

  $3\times {\left(\frac{2}{5}\right)}^{10}$
• D

  $45\times {\left(\frac{2}{5}\right)}^9$

Hence, the correct answer is option: 'B'.