A coin is tossed three times. Let X denote the number of times a tail follows a head. If μ and σ^2 denote the mean and variance of X, then the value…

A coin is tossed three times. Let $\displaystyle X$ denote the number of times a tail follows a head. If $\displaystyle \mu$ and $\displaystyle \sigma^2$ denote the mean and variance of X, then the value of $\displaystyle 64\left(\mu+\sigma^2\right)$ is :