The Probabilities of Getting $0,1,2$ , or 3 Heads in Three Flips of a Balanced

Short Answer

The probabilities of getting $0,1,2$ , or 3 heads in three flips of a balanced coin are, respectively, $\frac{1}{8}, \frac{3}{8}, \frac{3}{8}$ , and $\frac{1}{8}$ .
Use the formulas that define $\mu$ and $\sigma^{2}$ to find the mean and the standard deviation of this probability distribution. If necessary, round to the nearest thousandth.