# What are the mean and standard deviation of the probability density function given by #(p(x))/k=x/(1-x^2# for # x in [2,4]#, 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

Jul 17, 2016

#### Explanation:

PDF means that we need to find the expectation which becomes

and

for the cummulative value to be equal to 1 then

then solve for k