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