# 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?

##### 1 Answer

Feb 14, 2016

a) Mean:

b) Standard Deviation:

#### Explanation:

The recipe is:

Determine the function pdf, p(x) such that:

so your pdf is

Determine the mean

a) Mean:

b) var: