What are the mean and standard deviation of the probability density function given by #p(x)=k(1-xe^(x) )# for # x in [0,3]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
b) Standard Deviation:
The recipe is:
Determine the function pdf, p(x) such that:
so your pdf is
Determine the mean