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?
Integrate p(x) over
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:)