# 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?

##### 1 Answer

Aug 25, 2016

#### Explanation:

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