# What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^n-x^(n-1)# for # x in [0,1]#, in terms of k and n, with k being a constant such that the cumulative density across the range of x is equal to 1?

##### 1 Answer

#### Explanation:

Find normalisation constant

**Mean**

**Standard deviation**

Using the relation:

Therefore: