# What are the mean and standard deviation of the probability density function given by #(p(x))/k=sinx# for # x in [0,pi]#, 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

Mean:

Standard Deviation:

#### Explanation:

The recipe is:

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

so your pdf is

Determine the mean

a) Mean:

b) var: