# What are the mean and standard deviation of the probability density function given by #(p(x))/k=ln(x^3+1)# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?

##### 1 Answer

Nov 30, 2017

The mean is

#### Explanation:

The function

First , determine

Therefore,

So,

The mean is

The variance is

Therefore,

The standard deviation is