What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^3-4x# for # x in [0,2]#, 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
The mean is
Explanation:
If
Hence, the density function is
The mean is the expected value of
The expected value of
Hence, the variance is
The standard deviation is