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**Answer**

**Mean of Bernoulli distribution**

The moments of the Bernoulli Distribution are computed as follows;

${U}_{r}^{I}=E\left[{X}^{r}\right]$

$=\sum _{x=0}^{1}{X}^{r}p(x=x)$

Upon replacing the values of x with 0 and 1

$=0\times P(x=0)+1\times P(x=1)$

$=0\times {P}^{0}{(1-p)}^{1-0}+1\times {P}^{1}{(1-p)}^{1-1}$

$=p$

Thus the mean of Bernoulli Distribution is given by p

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