What are the mean and standard deviation of the probability density function given by #p(x)=k/x # for # x in [3,8]#, with k being a constant such that the cumulative density is equal to 1?
the mean is just the expected value defined as
and expected standard deviation
finally we know that
first solve for
now we solve for k and find out what the standard deviation and mean should be.
now solving for mean
now for standard deviation