# What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^3-49x# for # x in [0,7]#, 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

Jan 27, 2016

Integrate p(x) over **solve for k** ...

#### Explanation:

Next, using k above, integrate

Now, using k above, integrate

Find the Variance:

Finally, standard deviation

If you really need to know the mean and standard deviation **in terms of k** , then simply divide these parameters by

hope that helped!

Note: Used the **Solver** feature of my TI-84 to find all these values:)